Arithmetic II Practice Questions Solutions

1.
Sam has a gross yearly income of €20,700. He has a standard rate cut-off point of
€22,500 and a tax credit of €2,200. The standard rate of tax is 18%. Calculate:
 
(i)
 
The amount of gross tax for the year.
 
Gross tax = 18% of 20700
 
= 0·18 × 20700
 
= €3726
 
All of Sam’s income is under the standard rate cut-off point,
so all tax is charged at 18%:
1.
Sam has a gross yearly income of €20,700. He has a standard rate cut-off point of
€22,500 and a tax credit of €2,200. The standard rate of tax is 18%. Calculate:
 
(ii)
 
The amount of tax paid for the year.
 
Tax paid = Gross tax – Tax credit
 
= €3726 – €2200
 
= €1526
2.
Tanya has a gross yearly income of €41,500. She has a standard rate cut-off point of
€22,750 and a tax credit of €3,950. The standard rate of tax is 20% of income up to the
standard rate cut-off point and 41% on all income above the standard rate cut-off
point. Calculate:
 
(i)
 
The amount of gross tax for the year.
 
Gross tax = 20% of 22750 + 41% of 18750
 
= 0·2 × 22750 + 0·41 × 18750
 
= 4550 + 7687·50
 
= €12237·50
 
€41500 – €22750 = €18750 above standard rate
2.
Tanya has a gross yearly income of €41,500. She has a standard rate cut-off point of
€22,750 and a tax credit of €3,950. The standard rate of tax is 20% of income up to the
standard rate cut-off point and 41% on all income above the standard rate cut-off
point. Calculate:
 
(ii)
 
The amount of tax paid for the year.
 
Tax paid = Gross tax – Tax credit
 
= €12237·50 – €3950
 
= €8287·50
3.
John has a gross income per
fortnight of €1,750.
 
After tax is paid, what is John’s
net income per fortnight?
 
The standard rate of income tax is
20% and the higher rate is 42%.
 
He has tax credits of €105 per
fortnight and his standard rate cut-
off point is €1,295 per fortnight.
 
Gross tax = 20% of 1295 + 42% of 455
 
= 0·2 × 1295 + 0·42 × 455
 
= 259 + 191·10
 
= €450·10
 
€1750 – €1295 = €455 above standard rate
 
Tax paid = Gross tax – Tax credit
 
= €450·10 – €105
 
= €345·10
 
Net pay = Gross pay – Tax paid
 
= €1750 – €345·10
 
= €1404·90
4.
Asal pays income tax, a universal social charge (USC) and pay-related social insurance
(PRSI) on her gross wages. Her gross weekly wages are €625.
 
(i)
 
Asal pays income tax at a rate of 21%. She has weekly tax credits of €72.
How much income tax does she pay?
 
Gross tax = 21% of €625
 
= 0·21 × 625
 
= €131·25
 
Tax paid = Gross tax – Tax credit
 
= €131·25 – €72
 
= €59·25
4.
Asal pays income tax, a universal social charge (USC) and pay-related social insurance
(PRSI) on her gross wages. Her gross weekly wages are €625.
 
(ii)
 
Asal pays USC at the rate of 1·6 % on the first €195, 3% on the next €112
and 5% on the balance. Calculate the amount of USC Asal pays.
 
1·6% of €195 = 0·016 × 195 =   3·12
 
3% of €112 = 0·03 × 112 =     3·36
 
5% of €318 = 0·05 × 318 =   
15·90
  
(€625 – €195 – €112 = €318)
 
€22·38
4.
Asal pays income tax, a universal social charge (USC) and pay-related social insurance
(PRSI) on her gross wages. Her gross weekly wages are €625.
 
(iii)
 
Asal also pays PRSI. Her total weekly deductions of income tax, USC and
PRSI amount to €136·63 How much PRSI does Asal pay?
 
Total deductions = Income tax + USC + PRSI
 
€136·63 = €59·25 + €22·38 + PRSI
 
€136·63 = €81·63 + PRSI
 
€55 = PRSI
4.
Asal pays income tax, a universal social charge (USC) and pay-related social insurance
(PRSI) on her gross wages. Her gross weekly wages are €625.
 
(iv)
 
Hence, find the rate of PRSI, which Asal pays on her gross earnings.
 
Gross income = €625,   PRSI = €55
5.
 
(i)
 
Calculate the amount of gross tax for the year.
 
Gross tax = 17% of €588 + 39% of €337
 
= 0·17 × 588 + 0·39 × 337
 
= 99·96 + 131·43
 
= €231·39
Howard has a gross weekly income of €925. He has a standard rate cut-off point of
€588 and a tax credit of €75.
The standard rate of tax is 17% of income up to the standard rate cut-off point and
39% on all income above the standard rate cut-off point.
 
Income above standard rate cut-off point = €925 
 €588 = €337
5.
 
(ii)
 
Howard pays a Universal Social Charge (USC) of 1% on the first €300, then
3% on the next €140 and 6% on all remaining income. Calculate how much
USC he owes.
 
1% of €300 = 0·01 × 300 = 3·00
 
3% of €140 = 0·03 × 140 = 4·20
 
6% of €485 = 0·06 × 485 =
 29·10
  
(€925 – €300 – €140 = €485)
 
€36·30
Howard has a gross weekly income of €925. He has a standard rate cut-off point of
€588 and a tax credit of €75.
The standard rate of tax is 17% of income up to the standard rate cut-off point and
39% on all income above the standard rate cut-off point.
5.
Howard has a gross weekly income of €925. He has a standard rate cut-off point of
€588 and a tax credit of €75.
The standard rate of tax is 17% of income up to the standard rate cut-off point and
39% on all income above the standard rate cut-off point.
 
(iii)
 
Calculate Howard’s net salary after tax and USC have been deducted.
 
Tax paid = Gross tax – Tax credit
 
= €231·39 – €75
 
= €156·39
 
Net salary = Gross salary – Tax paid – USC
 
= €925 – €156·39 – €36·30
 
= €732·31
6.
Valerio has a gross yearly income of €73,150. He has a standard rate cut-off point of
€32,500 and a tax credit of €4,850.
The standard rate of tax is 21% of income up to the standard rate cut-off point and
42% on all income above the standard rate cut-off point.
 
(i)
 
Calculate the amount of gross tax for the year.
 
Gross tax = 21% of €32500 + 42% of €40650
 
= 0·21 × 32500 + 0·42 × 40650
 
= 6825 + 17073
 
= €23898
 
Income above standard rate cut-off point = €73150 
 €32500 = €40650
6.
Valerio has a gross yearly income of €73,150. He has a standard rate cut-off point of
€32,500 and a tax credit of €4,850.
The standard rate of tax is 21% of income up to the standard rate cut-off point and
42% on all income above the standard rate cut-off point.
 
(ii)
 
Valerio pays Universal Social Charge (USC) of 1% on the first €12,300,
then 3% on the next €8,400 and 6% on all remaining income. Calculate how
much USC he owes.
 
1% of €12300 = 0·01 × 12300 = 123
 
3% of €8400 = 0·03 × 8400 = 252
 
6% of €52450 = 0·06 × 52450 = 
3147
   (€73150 – €12300 – €8400 = €52450)
 
€3522
6.
Valerio has a gross yearly income of €73,150. He has a standard rate cut-off point of
€32,500 and a tax credit of €4,850.
The standard rate of tax is 21% of income up to the standard rate cut-off point and
42% on all income above the standard rate cut-off point.
 
(iii)
 
Calculate Valerio’s net salary after tax and USC have been deducted.
 
Tax paid = Gross tax – Tax credit
 
= €23898 – €4850
 
= €19048
 
Net salary = Gross salary – Tax paid – USC
 
= €73150 – €19048 – €3522
 
= €50580
7.
Gustav earned €51,000 last year. The standard rate cut-off point was €29,200. The
standard rate of income tax was 18% and the higher rate was 43%. Gustav has tax
credits of €4,300.
 
(i)
 
Calculate the tax paid by Gustav on his income.
 
Gross tax = 18% of €29200 + 43% of €21800
 
= 0·18 × 29200 + 0·43 × 21800
 
= €14630
 
Tax paid = Gross tax – Tax credit
 
= €14630 – €4300
 
= €10330
 
= 5256 + 9374
7.
 
Income levy = 2% of €51,000
 
= 0·02 × 51000
 
= €1020
 
Gustav also has to pay
 
a 2% income levy on his
     gross income
 
USC of  2·5% on the first
     €10,000 of his salary and
     4% on the next €5,500,
     6% on the next €8,000 and
     8% on all remaining income
 
USC
:
 
PRSI = €35 × 52 = €1820
 
Health ins = €65 × 12 = €780
 
Pension = €340 × 12 = €4080
 
Union = €7·50 × 52 = €390
 
a weekly PRSI contribution
of €35
 
a monthly health insurance
payment of €65
 
a monthly pension
contribution of €340
 
a weekly trade union
subscription of €7·50
7.
(ii) Calculate Gustav’s 
monthly
 net income after all deductions have been made.
 
PRSI = €1820
 
Health ins = €780
 
Pension = €4080
 
Union = 
€390
 
Net income = Gross income – tax – deductions
 
Net income = €51000 – €10330 − €11240
 
= €29,430 per annum
 
€29,430 
 12 = €2,452·50 per month
 
USC = €
3150
 
Income levy = €1020
 
Deductions:
 
€11240
8.
The table shows the hours Tony worked over five days.
Tony’s basic rate of pay is €13·50 per hour. He is paid one and a half times the basic
rate for work on Saturday and Sunday.
 
(i)
 
Calculate Tony’s total pay for Wednesday, Thursday, Friday and Saturday.
 
(6 × €13·50) + (7 × €13·50) + (7·5 × €13·50) + (6 × (€13·50 × 1·5))
 
= €81 + €94·50 + €101·25 + €121·50
 
= €398·25
8.
The table shows the hours Tony worked over five days.
Tony’s basic rate of pay is €13·50 per hour. He is paid one and a half times the basic
rate for work on Saturday and Sunday.
 
(ii)
 
Tony was paid a total of €540 for the five days’ work. Find 
h
, the number of
hours Tony worked on Sunday.
 
= 7 hours
 
Amount earned on Sunday = €540 – €398·25
 
= €141·75
8.
The table shows the hours Tony worked over five days.
Tony’s basic rate of pay is €13·50 per hour. He is paid one and a half times the basic
rate for work on Saturday and Sunday.
 
(iii)
 
Tony pays income tax at the rate of 20%. He has weekly tax credits of €63.
How much income tax does he pay?
 
Gross tax = 20% of €540
 
= 0·2 × 540
 
= €108
 
Tax paid = Gross tax – Tax credit
 
= €108 − €63
 
= €45
8.
The table shows the hours Tony worked over five days.
Tony’s basic rate of pay is €13·50 per hour. He is paid one and a half times the basic
rate for work on Saturday and Sunday.
 
(iv)
 
Tony pays the USC at the rate of 2% on the first €193, 4% on the next €115
and 7% on the balance. Calculate the amount of USC Tony pays.
 
2% of €193 = 0·02 × 193 = €3·86
 
4% of €115 = 0·04 × 115 = €4·60
 
7% of €232 = 0·07 × 232 = 
€16·24
 
USC = €24·70
8.
The table shows the hours Tony worked over five days.
Tony’s basic rate of pay is €13·50 per hour. He is paid one and a half times the basic
rate for work on Saturday and Sunday.
 
(v)
 
Tony also pays PRSI. His total weekly deductions amount to €76·92.
How much PRSI does Tony pay?
 
Total deductions = Income tax + USC + PRSI
 
€76·92 = €45 + €24·70 + PRSI
 
€76·92 = €69·70 + PRSI
 
€7·22 = PRSI
9.
Siofra has a gross income of €72,300.
 
She has a tax credit of €3,750.
 
Her standard rate cut-off point is
€29,700.
 
The standard rate of tax is 19% and the
higher rate is 41%.
 
Siofra is in PRSI class A1, which means
that she does not pay PRSI on the first
€127 earned per week, but she pays it at
a rate of 4% on all income above that
amount (assume a 52-week year).
 
Siofra pays trade union subscriptions of
€17 every two weeks, health insurance of
€99 a month and a pension contribution
of €375 per month.
 
(i)
 
Calculate the total amount of income
tax Siofra must pay for the year.
 
19% of 29700 = 0·19 × 29700 = €5643
 
41% of 42600 = 0·41 × 42600 = 
€17466
 
Gross tax = €23109
 
Tax paid = Gross tax – Tax credit
 
= €23109 – €3750
 
= €19359
 
Siofra pays USC at the following rates:
1% on the first €12,000, 3% on the next
€6,500, 5% on the next €46,500 and 8%
on any income above €65,000.
 
(ii)
 
Calculate her USC payment for the year.
 
1% of €12000 = 0·01 × 12000 = €120
 
3% of €6500 = 0·03 × 6500 = €195
 
5% of €46500 = 0·05 × 46500 = €2325
 
8% of €7300 = 0·08 × 7300 = 
€584
 
USC = €3224
9.
Siofra has a gross income of €72,300.
She has a tax credit of €3,750.
Her standard rate cut-off point is
€29,700.
The standard rate of tax is 19% and the
higher rate is 41%.
Siofra is in PRSI class A1, which means
that she does not pay PRSI on the first
€127 earned per week, but she pays it at
a rate of 4% on all income above that
amount (assume a 52-week year).
Siofra pays trade union subscriptions of
€17 every two weeks, health insurance of
€99 a month and a pension contribution
of €375 per month.
Siofra pays USC at the following rates:
1% on the first €12,000, 3% on the next
€6,500, 5% on the next €46,500 and 8%
on any income above €65,000.
(iii)
 
Calculate her PRSI contribution per
week, to the nearest cent.
 
€72,300 
 52 = €1390·38 per week
 
– €127
 
PRSI due on:
 
     €1263·38
 
4% of €1263·38 = 0·04 × 1263·38
 
= €50·535
 
= €50·54 per week
9.
Siofra has a gross income of €72,300.
She has a tax credit of €3,750.
Her standard rate cut-off point is
€29,700.
The standard rate of tax is 19% and the
higher rate is 41%.
Siofra is in PRSI class A1, which means
that she does not pay PRSI on the first
€127 earned per week, but she pays it at
a rate of 4% on all income above that
amount (assume a 52-week year).
Siofra pays trade union subscriptions of
€17 every two weeks, health insurance of
€99 a month and a pension contribution
of €375 per month.
Siofra pays USC at the following rates:
1% on the first €12,000, 3% on the next
€6,500, 5% on the next €46,500 and 8%
on any income above €65,000.
 
(iv)
 
What is Siofra’s weekly net income,
after all deductions?
 
Total annual deductions:
 
Income tax = €19,359
 
USC = €3224
 
PRSI = €50·54 × 52 = €2628·08
 
Trade union: €17 × 26 =   €442
 
Health Ins: €99 × 12 = €1188
 
Pension: €375 × 12 =  
€4500
 
= €31341·08
 
Net income = €72,300 – €31,341·08
 
= €40,958·92
 
Weekly income = €40958·92 
 52
 
= €787·67
9.
Siofra has a gross income of €72,300.
She has a tax credit of €3,750.
Her standard rate cut-off point is
€29,700.
The standard rate of tax is 19% and the
higher rate is 41%.
Siofra is in PRSI class A1, which means
that she does not pay PRSI on the first
€127 earned per week, but she pays it at
a rate of 4% on all income above that
amount (assume a 52-week year).
Siofra pays trade union subscriptions of
€17 every two weeks, health insurance of
€99 a month and a pension contribution
of €375 per month.
Siofra pays USC at the following rates:
1% on the first €12,000, 3% on the next
€6,500, 5% on the next €46,500 and 8%
on any income above €65,000.
10.
Josiah has a gross yearly income of €26,500. He has a standard rate cut-off point of
€28,000 and a tax credit of €1,550.
If he pays tax of €4,015, calculate the standard rate of tax.
 
Tax paid = Gross tax – Tax credit
 
€4015 = Gross tax – €1550
 
€5565 = Gross tax
 
Gross tax = Rate × Gross salary
 
€5565 = 
x
 × €26500
 
0·21 = 
x
 
21% = 
x
11.
Lily has a gross income of €50,000. Her total income tax payable amounts to
€10,460. The standard rate cut off point is €32,000. The standard rate of tax is 20%
and the higher rate is 42%. What are Lily’s tax credits for the year?
 
Gross tax = 20% of €32000 + 42% of €18000
 
= 0·2 × 32000 + 0·42 × 18000
 
= 6400 + 7560
 
= €13,960
 
Tax paid = Gross tax – Tax credit
 
€10460 = €13960 – Tax credit
 
Tax credit = €13960 – €10460
 
Tax credit = €3500
12.
Fiona has a gross income of €62,000, tax credits of €3,210 and a standard rate cut-off
point of €31,500. Fiona pays €15,280 tax for the year.
 
(i)
 
Given the standard rate of tax is 19%, find the higher rate of tax.
 
Gross tax = Tax paid + Tax credit
 
= €15280 + €3210
 
= €18490
 
Gross tax = 19% of €31500 + 
x 
% of €30500
 
18490 = 0·19 × 31500 + 
x
 × 30500
 
18490 = 5985 + 30500
x
 
12505 = 30500
x
 
0·41 = 
x
 
41% = 
x 
 higher rate of tax
12.
Fiona has a gross income of €62,000, tax credits of €3,210 and a standard rate cut-off
point of €31,500. Fiona pays €15,280 tax for the year.
 
(ii)
 
The following year, Fiona gets
a pay increase.
 
Increase in tax = 
41% of increase in income
 
She now pays €16,551 in tax.
 
If all rates, tax credits and
standard cut-off point stay the
same, find the amount that
Fiona’s salary increased by.
 
€16551 – €15280 = 
41% of 
x
 
€1271 = 0·
41
x
 
€3100 = 
x
 
Therefore, Fiona has an increase of €3,100
12.
Fiona has a gross income of €62,000, tax credits of €3,210 and a standard rate cut-off
point of €31,500. Fiona pays €15,280 tax for the year.
(ii)
The following year, Fiona gets
a pay increase.
 
Gross tax = 19% of €31500 + 41% of €
x
 
(16551 + 3210) = 0·19 × 31500 + 0·41 × 
x
 
19761 = 5985 + 0·41
x
 
13776 = 0·41
x
 
€33600 = 
x
 
New salary = €31500 + €33600
 
= €65100
 
Increase = €65100 – €62000
 
= €3100
She now pays €16,551 in tax.
If all rates, tax credits and
standard cut-off point stay the
same, find the amount that
Fiona’s salary increased by.
 
Alternative solution
:
12.
Fiona has a gross income of €62,000, tax credits of €3,210 and a standard rate cut-off
point of €31,500. Fiona pays €15,280 tax for the year.
 
(iii)
 
Find the percentage increase in Fiona’s salary going from the first year to the
second year.
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In this set of practice questions, various scenarios involving income tax calculations are discussed and solved step-by-step. The examples cover different income levels, tax rates, tax credits, and standard rate cut-off points. From calculating gross tax to determining the tax paid and net income after deductions, these solutions offer a detailed insight into arithmetic in the context of income taxation.

  • Arithmetic
  • Practice Questions
  • Tax Calculation
  • Income Tax
  • Solutions

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  1. CHAPTER 09 Arithmetic II Solutions: Practice Questions 1

  2. 09 Practice Questions 1 1. Sam has a gross yearly income of 20,700. He has a standard rate cut-off point of 22,500 and a tax credit of 2,200. The standard rate of tax is 18%. Calculate: The amount of gross tax for the year. (i) All of Sam s income is under the standard rate cut-off point, so all tax is charged at 18%: Gross tax = 18% of 20700 = 0 18 20700 = 3726

  3. 09 Practice Questions 1 1. Sam has a gross yearly income of 20,700. He has a standard rate cut-off point of 22,500 and a tax credit of 2,200. The standard rate of tax is 18%. Calculate: The amount of tax paid for the year. (ii) Tax paid = Gross tax Tax credit = 3726 2200 = 1526

  4. 09 Practice Questions 1 2. Tanya has a gross yearly income of 41,500. She has a standard rate cut-off point of 22,750 and a tax credit of 3,950. The standard rate of tax is 20% of income up to the standard rate cut-off point and 41% on all income above the standard rate cut-off point. Calculate: The amount of gross tax for the year. (i) 41500 22750 = 18750 above standard rate Gross tax = 20% of 22750 + 41% of 18750 = 0 2 22750 + 0 41 18750 = 4550 + 7687 50 = 12237 50

  5. 09 Practice Questions 1 2. Tanya has a gross yearly income of 41,500. She has a standard rate cut-off point of 22,750 and a tax credit of 3,950. The standard rate of tax is 20% of income up to the standard rate cut-off point and 41% on all income above the standard rate cut-off point. Calculate: The amount of tax paid for the year. (ii) Tax paid = Gross tax Tax credit = 12237 50 3950 = 8287 50

  6. 09 Practice Questions 1 3. 1750 1295 = 455 above standard rate John has a gross income per fortnight of 1,750. Gross tax = 20% of 1295 + 42% of 455 The standard rate of income tax is 20% and the higher rate is 42%. = 0 2 1295 + 0 42 455 = 259 + 191 10 He has tax credits of 105 per fortnight and his standard rate cut- off point is 1,295 per fortnight. = 450 10 Tax paid = Gross tax Tax credit After tax is paid, what is John s net income per fortnight? = 450 10 105 = 345 10 Net pay = Gross pay Tax paid = 1750 345 10 = 1404 90

  7. 09 Practice Questions 1 4. Asal pays income tax, a universal social charge (USC) and pay-related social insurance (PRSI) on her gross wages. Her gross weekly wages are 625. Asal pays income tax at a rate of 21%. She has weekly tax credits of 72. How much income tax does she pay? (i) Gross tax = 21% of 625 = 0 21 625 = 131 25 Tax paid = Gross tax Tax credit = 131 25 72 = 59 25

  8. 09 Practice Questions 1 4. Asal pays income tax, a universal social charge (USC) and pay-related social insurance (PRSI) on her gross wages. Her gross weekly wages are 625. Asal pays USC at the rate of 1 6 % on the first 195, 3% on the next 112 and 5% on the balance. Calculate the amount of USC Asal pays. (ii) 1 6% of 195 = 0 016 195 = 3 12 3% of 112 = 0 03 112 = 3 36 5% of 318 = 0 05 318 = 15 90 ( 625 195 112 = 318) 22 38

  9. 09 Practice Questions 1 4. Asal pays income tax, a universal social charge (USC) and pay-related social insurance (PRSI) on her gross wages. Her gross weekly wages are 625. (iii) Asal also pays PRSI. Her total weekly deductions of income tax, USC and PRSI amount to 136 63 How much PRSI does Asal pay? Total deductions = Income tax + USC + PRSI 136 63 = 59 25 + 22 38 + PRSI 136 63 = 81 63 + PRSI 55 = PRSI

  10. 09 Practice Questions 1 4. Asal pays income tax, a universal social charge (USC) and pay-related social insurance (PRSI) on her gross wages. Her gross weekly wages are 625. (iv) Hence, find the rate of PRSI, which Asal pays on her gross earnings. Gross income = 625, PRSI = 55 55 625 8 8% = 100

  11. 09 Practice Questions 1 5. Howard has a gross weekly income of 925. He has a standard rate cut-off point of 588 and a tax credit of 75. The standard rate of tax is 17% of income up to the standard rate cut-off point and 39% on all income above the standard rate cut-off point. Calculate the amount of gross tax for the year. (i) Income above standard rate cut-off point = 925 588 = 337 Gross tax = 17% of 588 + 39% of 337 = 0 17 588 + 0 39 337 = 99 96 + 131 43 = 231 39

  12. 09 Practice Questions 1 5. Howard has a gross weekly income of 925. He has a standard rate cut-off point of 588 and a tax credit of 75. The standard rate of tax is 17% of income up to the standard rate cut-off point and 39% on all income above the standard rate cut-off point. Howard pays a Universal Social Charge (USC) of 1% on the first 300, then 3% on the next 140 and 6% on all remaining income. Calculate how much USC he owes. (ii) 1% of 300 = 0 01 300 = 3 00 3% of 140 = 0 03 140 = 4 20 6% of 485 = 0 06 485 = 29 10 ( 925 300 140 = 485) 36 30

  13. 09 Practice Questions 1 5. Howard has a gross weekly income of 925. He has a standard rate cut-off point of 588 and a tax credit of 75. The standard rate of tax is 17% of income up to the standard rate cut-off point and 39% on all income above the standard rate cut-off point. (iii) Calculate Howard s net salary after tax and USC have been deducted. Tax paid = Gross tax Tax credit = 231 39 75 = 156 39 Net salary = Gross salary Tax paid USC = 925 156 39 36 30 = 732 31

  14. 09 Practice Questions 1 6. Valerio has a gross yearly income of 73,150. He has a standard rate cut-off point of 32,500 and a tax credit of 4,850. The standard rate of tax is 21% of income up to the standard rate cut-off point and 42% on all income above the standard rate cut-off point. Calculate the amount of gross tax for the year. (i) Income above standard rate cut-off point = 73150 32500 = 40650 Gross tax = 21% of 32500 + 42% of 40650 = 0 21 32500 + 0 42 40650 = 6825 + 17073 = 23898

  15. 09 Practice Questions 1 6. Valerio has a gross yearly income of 73,150. He has a standard rate cut-off point of 32,500 and a tax credit of 4,850. The standard rate of tax is 21% of income up to the standard rate cut-off point and 42% on all income above the standard rate cut-off point. Valerio pays Universal Social Charge (USC) of 1% on the first 12,300, then 3% on the next 8,400 and 6% on all remaining income. Calculate how much USC he owes. (ii) 1% of 12300 = 0 01 12300 = 123 3% of 8400 = 0 03 8400 = 252 6% of 52450 = 0 06 52450 = 3147 ( 73150 12300 8400 = 52450) 3522

  16. 09 Practice Questions 1 6. Valerio has a gross yearly income of 73,150. He has a standard rate cut-off point of 32,500 and a tax credit of 4,850. The standard rate of tax is 21% of income up to the standard rate cut-off point and 42% on all income above the standard rate cut-off point. (iii) Calculate Valerio s net salary after tax and USC have been deducted. Tax paid = Gross tax Tax credit = 23898 4850 = 19048 Net salary = Gross salary Tax paid USC = 73150 19048 3522 = 50580

  17. 09 Practice Questions 1 7. Gustav earned 51,000 last year. The standard rate cut-off point was 29,200. The standard rate of income tax was 18% and the higher rate was 43%. Gustav has tax credits of 4,300. Calculate the tax paid by Gustav on his income. (i) Gross tax = 18% of 29200 + 43% of 21800 = 0 18 29200 + 0 43 21800 = 5256 + 9374 = 14630 Tax paid = Gross tax Tax credit = 14630 4300 = 10330

  18. 09 Practice Questions 1 Income levy = 2% of 51,000 7. Gustav also has to pay = 0 02 51000 a 2% income levy on his gross income = 1020 USC: USC of 2 5% on the first 10,000 of his salary and 4% on the next 5,500, 6% on the next 8,000 and 8% on all remaining income a weekly PRSI contribution of 35 a monthly health insurance payment of 65 a monthly pension contribution of 340 2 5% of 10000 4% of 5500 6% of 8000 8% of 27500 0 025 10000 = 0 04 5500 = 0 06 8000 = 0 08 27500 = = = = = 250 220 480 2200 3150 PRSI = 35 52 = 1820 Health ins = 65 12 = 780 Pension = 340 12 = 4080 a weekly trade union subscription of 7 50 Union = 7 50 52 = 390

  19. 09 Practice Questions 1 7. (ii) Calculate Gustav s monthly net income after all deductions have been made. Deductions: Net income = Gross income tax deductions Income levy = 1020 Net income = 51000 10330 11240 USC = 3150 = 29,430 per annum PRSI = 1820 Health ins = 780 29,430 12 = 2,452 50 per month Pension = 4080 Union = 390 11240

  20. 09 Practice Questions 1 8. The table shows the hours Tony worked over five days. Day Wednesday Thursday Friday Saturday Sunday h Hours worked 6 7 7.5 6 Tony s basic rate of pay is 13 50 per hour. He is paid one and a half times the basic rate for work on Saturday and Sunday. Calculate Tony s total pay for Wednesday, Thursday, Friday and Saturday. (i) (6 13 50) + (7 13 50) + (7 5 13 50) + (6 ( 13 50 1 5)) = 81 + 94 50 + 101 25 + 121 50 = 398 25

  21. 09 Practice Questions 1 8. The table shows the hours Tony worked over five days. Day Wednesday Thursday Friday Saturday Sunday h Hours worked 6 7 7.5 6 Tony s basic rate of pay is 13 50 per hour. He is paid one and a half times the basic rate for work on Saturday and Sunday. Tony was paid a total of 540 for the five days work. Find h, the number of hours Tony worked on Sunday. (ii) Amount earned on Sunday = 540 398 25 = 141 75 141 75 ( 13 5 1 5) = Number of hours worked on Sunday = 7 hours

  22. 09 Practice Questions 1 8. The table shows the hours Tony worked over five days. Day Wednesday Thursday Friday Saturday Sunday h Hours worked 6 7 7.5 6 Tony s basic rate of pay is 13 50 per hour. He is paid one and a half times the basic rate for work on Saturday and Sunday. (iii) Tony pays income tax at the rate of 20%. He has weekly tax credits of 63. How much income tax does he pay? Gross tax = 20% of 540 = 0 2 540 = 108 Tax paid = Gross tax Tax credit = 108 63 = 45

  23. 09 Practice Questions 1 8. The table shows the hours Tony worked over five days. Day Wednesday Thursday Friday Saturday Sunday h Hours worked 6 7 7.5 6 Tony s basic rate of pay is 13 50 per hour. He is paid one and a half times the basic rate for work on Saturday and Sunday. (iv) Tony pays the USC at the rate of 2% on the first 193, 4% on the next 115 and 7% on the balance. Calculate the amount of USC Tony pays. 2% of 193 = 0 02 193 = 3 86 4% of 115 = 0 04 115 = 4 60 7% of 232 = 0 07 232 = 16 24 USC = 24 70

  24. 09 Practice Questions 1 8. The table shows the hours Tony worked over five days. Day Wednesday Thursday Friday Saturday Sunday h Hours worked 6 7 7.5 6 Tony s basic rate of pay is 13 50 per hour. He is paid one and a half times the basic rate for work on Saturday and Sunday. Tony also pays PRSI. His total weekly deductions amount to 76 92. How much PRSI does Tony pay? (v) Total deductions = Income tax + USC + PRSI 76 92 = 45 + 24 70 + PRSI 76 92 = 69 70 + PRSI 7 22 = PRSI

  25. 09 Practice Questions 1 Calculate the total amount of income tax Siofra must pay for the year. (i) 9. Siofra has a gross income of 72,300. Her standard rate cut-off point is 29,700. 19% of 29700 = 0 19 29700 = 5643 The standard rate of tax is 19% and the higher rate is 41%. 41% of 42600 = 0 41 42600 = 17466 She has a tax credit of 3,750. Siofra pays USC at the following rates: 1% on the first 12,000, 3% on the next 6,500, 5% on the next 46,500 and 8% on any income above 65,000. Gross tax = 23109 Tax paid = Gross tax Tax credit = 23109 3750 Siofra is in PRSI class A1, which means that she does not pay PRSI on the first 127 earned per week, but she pays it at a rate of 4% on all income above that amount (assume a 52-week year). = 19359 Siofra pays trade union subscriptions of 17 every two weeks, health insurance of 99 a month and a pension contribution of 375 per month.

  26. 09 Practice Questions 1 (ii) Calculate her USC payment for the year. 9. Siofra has a gross income of 72,300. Her standard rate cut-off point is 29,700. 1% of 12000 = 0 01 12000 = 120 The standard rate of tax is 19% and the higher rate is 41%. 3% of 6500 = 0 03 6500 = 195 She has a tax credit of 3,750. Siofra pays USC at the following rates: 1% on the first 12,000, 3% on the next 6,500, 5% on the next 46,500 and 8% on any income above 65,000. 5% of 46500 = 0 05 46500 = 2325 8% of 7300 = 0 08 7300 = 584 USC = 3224 Siofra is in PRSI class A1, which means that she does not pay PRSI on the first 127 earned per week, but she pays it at a rate of 4% on all income above that amount (assume a 52-week year). Siofra pays trade union subscriptions of 17 every two weeks, health insurance of 99 a month and a pension contribution of 375 per month.

  27. 09 Practice Questions 1 (iii) Calculate her PRSI contribution per week, to the nearest cent. 9. Siofra has a gross income of 72,300. Her standard rate cut-off point is 29,700. 72,300 52 = 1390 38 per week The standard rate of tax is 19% and the higher rate is 41%. 127 She has a tax credit of 3,750. Siofra pays USC at the following rates: 1% on the first 12,000, 3% on the next 6,500, 5% on the next 46,500 and 8% on any income above 65,000. PRSI due on: 1263 38 4% of 1263 38 = 0 04 1263 38 Siofra is in PRSI class A1, which means that she does not pay PRSI on the first 127 earned per week, but she pays it at a rate of 4% on all income above that amount (assume a 52-week year). = 50 535 = 50 54 per week Siofra pays trade union subscriptions of 17 every two weeks, health insurance of 99 a month and a pension contribution of 375 per month.

  28. 09 Practice Questions 1 (iv) What is Siofra s weekly net income, after all deductions? 9. Siofra has a gross income of 72,300. Her standard rate cut-off point is 29,700. Total annual deductions: The standard rate of tax is 19% and the higher rate is 41%. Income tax = 19,359 USC = 3224 PRSI = 50 54 52 = 2628 08 Trade union: 17 26 = 442 She has a tax credit of 3,750. Siofra pays USC at the following rates: 1% on the first 12,000, 3% on the next 6,500, 5% on the next 46,500 and 8% on any income above 65,000. Health Ins: 99 12 = 1188 Siofra is in PRSI class A1, which means that she does not pay PRSI on the first 127 earned per week, but she pays it at a rate of 4% on all income above that amount (assume a 52-week year). Pension: 375 12 = 4500 = 31341 08 Net income = 72,300 31,341 08 = 40,958 92 Siofra pays trade union subscriptions of 17 every two weeks, health insurance of 99 a month and a pension contribution of 375 per month. Weekly income = 40958 92 52 = 787 67

  29. 09 Practice Questions 1 10.Josiah has a gross yearly income of 26,500. He has a standard rate cut-off point of 28,000 and a tax credit of 1,550. If he pays tax of 4,015, calculate the standard rate of tax. Tax paid = Gross tax Tax credit 4015 = Gross tax 1550 5565 = Gross tax Gross tax = Rate Gross salary 5565 = x 26500 5565 26500 = x 0 21 = x 21% = x

  30. 09 Practice Questions 1 11.Lily has a gross income of 50,000. Her total income tax payable amounts to 10,460. The standard rate cut off point is 32,000. The standard rate of tax is 20% and the higher rate is 42%. What are Lily s tax credits for the year? Gross tax = 20% of 32000 + 42% of 18000 = 0 2 32000 + 0 42 18000 = 6400 + 7560 = 13,960 Tax paid = Gross tax Tax credit 10460 = 13960 Tax credit Tax credit = 13960 10460 Tax credit = 3500

  31. 09 Practice Questions 1 12.Fiona has a gross income of 62,000, tax credits of 3,210 and a standard rate cut-off point of 31,500. Fiona pays 15,280 tax for the year. Given the standard rate of tax is 19%, find the higher rate of tax. (i) Gross tax = Tax paid + Tax credit = 15280 + 3210 = 18490 Gross tax = 19% of 31500 + x % of 30500 18490 = 0 19 31500 + x 30500 18490 = 5985 + 30500x 12505 = 30500x 0 41 = x 41% = x higher rate of tax

  32. 09 Practice Questions 1 12.Fiona has a gross income of 62,000, tax credits of 3,210 and a standard rate cut-off point of 31,500. Fiona pays 15,280 tax for the year. The following year, Fiona gets a pay increase. (ii) Increase in tax = 41% of increase in income 16551 15280 = 41% of x She now pays 16,551 in tax. If all rates, tax credits and standard cut-off point stay the same, find the amount that Fiona s salary increased by. 1271 = 0 41x 1271 0 41= ? 3100 = x Therefore, Fiona has an increase of 3,100

  33. 09 Practice Questions 1 12.Fiona has a gross income of 62,000, tax credits of 3,210 and a standard rate cut-off point of 31,500. Fiona pays 15,280 tax for the year. The following year, Fiona gets a pay increase. (ii) Alternative solution: Gross tax = 19% of 31500 + 41% of x She now pays 16,551 in tax. (16551 + 3210) = 0 19 31500 + 0 41 x If all rates, tax credits and standard cut-off point stay the same, find the amount that Fiona s salary increased by. 19761 = 5985 + 0 41x 13776 = 0 41x 33600 = x New salary = 31500 + 33600 = 65100 Increase = 65100 62000 = 3100

  34. 09 Practice Questions 1 12.Fiona has a gross income of 62,000, tax credits of 3,210 and a standard rate cut-off point of 31,500. Fiona pays 15,280 tax for the year. (iii) Find the percentage increase in Fiona s salary going from the first year to the second year. Increase Original = Percentage increase 100 3100 62000 = 100 = 5%

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