QR12: Tax Questions (Tutoring)

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QR Tutorial 12 edition

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Let’s do the questions from Tutorial 12

Annual Taxable Income Bracket (£)	Tax Rate	Total Tax paid (£) at the top of this taxable income bracket
0 – 12,000	10%	1,200
12,000 – 31,500	15%	4,125
31,500 – 54,950	20%	8,815
54,950 – 81,450	29%	16,500
81,450 – 184,000	37%	55,469
184,000 and over	45%

The table shows the total tax paid (£) on annual taxable income.

For example, a person with an annual taxable income of £45,000 will pay £4,125 plus 20% of (£45,000 – £31,500).

// @todo

1. Ruoxuan has an annual taxable income of £23,330. The income tax, to the nearest £, he has to pay is:

A. £1,700

B. £2,333

C. £2,900

D. £3,466

E. £5,825

Explanation

The correct answer is C.

£23,300 fits into the second tax bracket… £12,000 gets taxed at 10%, yielding £1,200 (as shown in the RH column)

The remaining (£23,330 – £12,000) = £11,330 gets taxed at 15%, yielding £1,699.50 – adding this to £1,200 makes £2,900 (4sf)

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Annual Taxable Income Bracket (£)	Tax Rate	Total Tax paid (£) at the top of this taxable income bracket
0 – 12,000	10%	1,200
12,000 – 31,500	15%	4,125
31,500 – 54,950	20%	8,815
54,950 – 81,450	29%	16,500
81,450 – 184,000	37%	55,469
184,000 and over	45%

The table shows the total tax paid (£) on annual taxable income.

For example, a person with an annual taxable income of £45,000 will pay £4,125 plus 20% of (£45,000 – £31,500).

// @todo

2. Olenka has an annual taxable income of £114,050. The income tax she has to pay is:

A. £25,954

B. £28,562

C. £31,170

D. £38,367

E. £67,531

Explanation

The correct answer is B.

£114,050 fits into the fifth tax bracket:

The RH column shows that the first £81,450 yields £16,500 tax;

Then, the remaining (£114,050 – £81,450) = £32,600 gets taxed at 37%, yielding £12,062 and thus a total of £28,562

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Annual Taxable Income Bracket (£)	Tax Rate	Total Tax paid (£) at the top of this taxable income bracket
0 – 12,000	10%	1,200
12,000 – 31,500	15%	4,125
31,500 – 54,950	20%	8,815
54,950 – 81,450	29%	16,500
81,450 – 184,000	37%	55,469
184,000 and over	45%

The table shows the total tax paid (£) on annual taxable income.

For example, a person with an annual taxable income of £45,000 will pay £4,125 plus 20% of (£45,000 – £31,500).

// @todo

3. Max pays £10,000 tax per year. What is his taxable income, to the nearest £10, before tax is deducted?

A. £49,040

B. £55,290

C. £58,150

D. £59,040

E. £60,880

Explanation

The correct answer is D.

If Max pays £10,000 tax per year, his income must lie in the fourth tax bracket (i.e. he earns £54,950 to £81,450).

£10,000 – £8,815 = £1,185, which must have come from £1,185/0.29 = £4,086.21 (2dp). Adding this to £54,950 gives £59,040 (5sf)

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Annual Taxable Income Bracket (£)	Tax Rate	Total Tax paid (£) at the top of this taxable income bracket
0 – 12,000	10%	1,200
12,000 – 31,500	15%	4,125
31,500 – 54,950	20%	8,815
54,950 – 81,450	29%	16,500
81,450 – 184,000	37%	55,469
184,000 and over	45%

The table shows the total tax paid (£) on annual taxable income.

For example, a person with an annual taxable income of £45,000 will pay £4,125 plus 20% of (£45,000 – £31,500).

// @todo

4. Marie-Jo has an annual taxable income equivalent to £4,000 per month. If she wants to save enough money each month to cover her tax for the year, how much must she save as a rough percentage of her monthly income?

A. 7.7%

B. 9.4%

C. 12.1%

D. 15.5%

E. 18.6%

Explanation

The correct answer is D.

£4,000 per month = £48,000 per year, i.e. 3rd tax bracket

Tax for the year = £4,125 + [ 20% x (£48,000 – £31,500) ] = £4,125 + 20% x 16,500 = £4,125 + 3,300 = £7,425

Percentage of income = (£7,425 / £48,000) x 100 = 15.5% (3sf)

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Annual Taxable Income Bracket (£)	Tax Rate	Total Tax paid (£) at the top of this taxable income bracket
0 – 8,950	10%	895
8,950 – 36,250	15%	4,990
36,250 – 87,850	25%	17,890
87,850 – 183,250	28%	44,602
183,250 – 400,000	33%	116,129
400,000 and over	39.6%

The table shows the total tax paid (£) on annual taxable income.

For example, a person with an annual taxable income of £30,000 will pay £895 plus 15% of (£30,000 – £8,950).

// @todo

5. Lucia pays £1,900 per month in income tax. To the nearest £10, what is her annual salary, after tax is deducted?

A. £82,590

B. £83,590

C. £84,590

D. £85,590

E. £86,590

Explanation

The correct answer is A.

Annual tax paid within 4th bracket = (£1,900 x 12) – £17,890 = £4,910

Income within 4th bracket = £4,910 / 0.28 = £17,535.71 (2dp)

Post-tax Salary = (£87,850 + £17,535.71) – £22,800 = £82,585.71 (2dp) = £82,590 to the nearest £10

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Annual Taxable Income Bracket (£)	Tax Rate	Total Tax paid (£) at the top of this taxable income bracket
0 – 8,950	10%	895
8,950 – 36,250	15%	4,990
36,250 – 87,850	25%	17,890
87,850 – 183,250	28%	44,602
183,250 – 400,000	33%	116,129
400,000 and over	39.6%

The table shows the total tax paid (£) on annual taxable income.

For example, a person with an annual taxable income of £30,000 will pay £895 plus 15% of (£30,000 – £8,950).

// @todo

6. Ezra pays £1,450 per month in income tax. What is his annual taxable income?

A. £68,490

B. £72,840

C. £77,190

D. £81,540

E. £85,890

Explanation

The correct answer is E.

Annual tax = £1,450 x 12 = £17,400, i.e. in 3rd tax bracket

Tax paid within 3rd bracket = £17,400 – £4,990 = £12,410

Income within 3rd bracket = £12,410 / 0.25 = £49,640

Total income = £36,250 + £49,640 = £85,890

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Annual Taxable Income Bracket (£)	Tax Rate	Total Tax paid (£) at the top of this taxable income bracket
0 – 8,950	10%	895
8,950 – 36,250	15%	4,990
36,250 – 87,850	25%	17,890
87,850 – 183,250	28%	44,602
183,250 – 400,000	33%	116,129
400,000 and over	39.6%

The table shows the total tax paid (£) on annual taxable income.

For example, a person with an annual taxable income of £30,000 will pay £895 plus 15% of (£30,000 – £8,950).

// @todo

7. Delilah is promoted at work, and her salary rises from £80,000 to £90,000 pre-tax. By how much does the amount of tax she pays change?

A. £1359.50

B. £2500.00

C. £2564.50

D. £2672.00

E. £10335.50

Explanation

The correct answer is C.

Old tax = £4,990 + [ 25% x (£80,000 – £36,250) ] = £15,927.50

New tax = £17,890 + [ 28% x (£90,000 – £87,850) ] = £18492

Increase = £18492 – £15927.50 = £2564.50

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Annual Taxable Income Bracket (£)	Tax Rate	Total Tax paid (£) at the top of this taxable income bracket
0 – 8,950	10%	895
8,950 – 36,250	15%	4,990
36,250 – 87,850	25%	17,890
87,850 – 183,250	28%	44,602
183,250 – 400,000	33%	116,129
400,000 and over	39.6%

The table shows the total tax paid (£) on annual taxable income.

For example, a person with an annual taxable income of £30,000 will pay £895 plus 15% of (£30,000 – £8,950).

// @todo

8. Last year, Helga paid £9,166 per month in income tax. After tax deductions, how much did she earn in the year, to the nearest £?

A. £54,661

B. £204,289

C. £234,910

D. £238,384

E. £271,410

Explanation

The correct answer is E.

Annual Tax within 5th bracket = (£9,166 x 12) – £44,602 = £65,390

Income within 5th bracket = £65,390 / 0.33 = £198,151.52

Post-tax income = (£183,250 + £198,151.52) – (£9,166 x 12) = £271,409.52 (2dp) = £271,410 to the nearest £

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Annual Taxable Income Bracket ($)	Tax Rate	Total Tax paid ($) at the top of this taxable income bracket
0 – 12,000	12%	1,440
12,000 – 44,120	16%	6,579.20
44,120 – 71,450	22%	12,591.80
71,450 – 151,000	35%	40,434.30
151,000 and over	50%

The table shows the total tax paid ($) on annual taxable income.

For example, a person with an annual taxable income of $30,000 will pay $1,440 plus 16% of ($30,000 – $12,000).

// @todo

9. Leanne earns $63,000 a year. How much income tax does she pay?

A. $5,593.60

B. $9,600.00

C. $10,732.80

D. $12,660.00

E. $13,187.20

Explanation

The correct answer is C.

Total Tax = $6,579.20 + [ 22% x ($63,000 – $44,120) ]

= $6,579.20 + (22% x $1,880) = $6,579.20 + $4,154

= $10,732.80

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Annual Taxable Income Bracket ($)	Tax Rate	Total Tax paid ($) at the top of this taxable income bracket
0 – 12,000	12%	1,440
12,000 – 44,120	16%	6,579.20
44,120 – 71,450	22%	12,591.80
71,450 – 151,000	35%	40,434.30
151,000 and over	50%

The table shows the total tax paid ($) on annual taxable income.

For example, a person with an annual taxable income of $30,000 will pay $1,440 plus 16% of ($30,000 – $12,000).

// @todo

10. Symala earns $23,158 a year. How much income tax does she pay?

A. $2,778.96

B. $3,225.28

C. $3,241.28

D. $4,096.28

E. $5,145.28

Explanation

The correct answer is B.

Total Tax = $1,440 + [ 16% x ($23,158 – $12,000) ]

= $1,440 + (16% x $11,158) = $1,440 + $1,785.28

= $3,225.28

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Annual Taxable Income Bracket ($)	Tax Rate	Total Tax paid ($) at the top of this taxable income bracket
0 – 12,000	12%	1,440
12,000 – 44,120	16%	6,579.20
44,120 – 71,450	22%	12,591.80
71,450 – 151,000	35%	40,434.30
151,000 and over	50%

The table shows the total tax paid ($) on annual taxable income.

For example, a person with an annual taxable income of $30,000 will pay $1,440 plus 16% of ($30,000 – $12,000).

// @todo

11. Nathan’s annual taxable income is $50,000. What, to the nearest %, is the average rate of income tax he pays over the entirety of his salary?

A. 14%

B. 15%

C. 16%

D. 17%

E. 18%

Explanation

The correct answer is C.

Annual Tax = $6,579.20 + [ 22% x ($50,000 – $44,120) ]

= $6,579.20 + (22% x $5,880) = $6,579.20 + $1,293.60 = $7,872.80

Average tax rate = 7,872.80 / 50,000 x 100 = 16% (2sf)

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Annual Taxable Income Bracket ($)	Tax Rate	Total Tax paid ($) at the top of this taxable income bracket
0 – 12,000	12%	1,440
12,000 – 44,120	16%	6,579.20
44,120 – 71,450	22%	12,591.80
71,450 – 151,000	35%	40,434.30
151,000 and over	50%

The table shows the total tax paid ($) on annual taxable income.

For example, a person with an annual taxable income of $30,000 will pay $1,440 plus 16% of ($30,000 – $12,000).

// @todo

12. One year, the lower and upper bounds of each income tax bracket increase by 10%. As a result, how does the amount of tax Mel pays annually on her salary of $38,000 change?

A. It ends up $96 higher than before

B. It ends up $48 higher than before

C. It ends up the same as before

D. It ends up $48 lower than before

E. It ends up $96 lower than before

Explanation

The correct answer is D.

The lowest upper bound becomes $13,200, and the tax paid at the top of the bottom bracket becomes 12% x 13,200 = $1,584

Old tax = $1,440 + [ 16% x ($38,000 – $12,000) ] = $5,600

New tax = $1,584 + [ 16% x ($38,000 – $13,200) ] = $5,552 ($48 lower)

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UK income tax allowances, rates and bands

Income tax allowances	2016-17 (£)	2017-18 (£)
Personal allowance for people aged under 60	7,050	7,275
Personal allowance for people aged 60-74	9,220	9,400
Personal allowance for people aged 75 and over	9,850	9,950

Current UK income tax bands
Income tax bands	2016-17 Rate	2017-18 Rate	2016-17 (£)	2017-18 (£)
Starting Rate	12%	12%	0 – 2,650	0 – 2,850
Basic Rate	24%	24%	2,650 – 35,000	2,850 – 36,000
Higher Rate	44%	44%	Over 35,000	Over 36,000

In order to calculate the amount received from income after tax, you need to know:

the allowances – income tax is not deducted from these
the bands into which income is allocated
the different rates at which income tax will be deducted from the bands

For example, in 2016-17, someone aged 45 earning £20,000 per year, will:

have a tax-free allowance of £7,050
pay tax at 12% on £2,650
and pay tax at 24% on the remaining £10,300

// @todo

13. How much would a 30-year-old with an annual salary of £41,000 pay in income tax during the tax year 2016-17?

A. £4,074

B. £5,190

C. £7,752

D. £7,776

E. £7,830

Explanation

The correct answer is E.

Personal allowance, under 60, 2016-17 = £7,050

Tax in Starting band = 12% x £2650 = £318

Tax in Basic band = 24% x ((£41,000 – £7,050 – £2,650) = £7,512

Total Tax = £318 + £7,512 = £7,830

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UK income tax allowances, rates and bands

Income tax allowances	2016-17 (£)	2017-18 (£)
Personal allowance for people aged under 60	7,050	7,275
Personal allowance for people aged 60-74	9,220	9,400
Personal allowance for people aged 75 and over	9,850	9,950

Current UK income tax bands
Income tax bands	2016-17 Rate	2017-18 Rate	2016-17 (£)	2017-18 (£)
Starting Rate	12%	12%	0 – 2,650	0 – 2,850
Basic Rate	24%	24%	2,650 – 35,000	2,850 – 36,000
Higher Rate	44%	44%	Over 35,000	Over 36,000

In order to calculate the amount received from income after tax, you need to know:

the allowances – income tax is not deducted from these
the bands into which income is allocated
the different rates at which income tax will be deducted from the bands

For example, in 2016-17, someone aged 45 earning £20,000 per year, will:

have a tax-free allowance of £7,050
pay tax at 12% on £2,650
and pay tax at 24% on the remaining £10,300

// @todo

14. What would the monthly tax deduction be from the salary of a 62-year-old earning £17,500 during the 2017-18 tax year?

A. £122.50

B. £133.50

C. £139.10

D. £176.00

E. £182.50

Explanation

The correct answer is B.

Personal allowance, 60-74, 2017-18 = £9,400

Tax in Starting band = 12% x £2,850 = £342

Tax in Basic band = 24% x (£17,500 – £9,400 – £2,850) = £1,260

Monthly Tax = (£342 + £1,260) / 12 = £133.50

Post Comment

Rayyan Malik Medicmind Tutor

Wed, 17 Feb 2021 13:28:34

The issue with a question, answer option repeated twice and right answer not listed. 133.50

UK income tax allowances, rates and bands

Income tax allowances	2016-17 (£)	2017-18 (£)
Personal allowance for people aged under 60	7,050	7,275
Personal allowance for people aged 60-74	9,220	9,400
Personal allowance for people aged 75 and over	9,850	9,950

Current UK income tax bands
Income tax bands	2016-17 Rate	2017-18 Rate	2016-17 (£)	2017-18 (£)
Starting Rate	12%	12%	0 – 2,650	0 – 2,850
Basic Rate	24%	24%	2,650 – 35,000	2,850 – 36,000
Higher Rate	44%	44%	Over 35,000	Over 36,000

In order to calculate the amount received from income after tax, you need to know:

the allowances – income tax is not deducted from these
the bands into which income is allocated
the different rates at which income tax will be deducted from the bands

For example, in 2016-17, someone aged 45 earning £20,000 per year, will:

have a tax-free allowance of £7,050
pay tax at 12% on £2,650
and pay tax at 24% on the remaining £10,300

// @todo

15. How much would a 52-year-old with an annual salary of £43,000 pay in income tax during the tax year 2017-18?

A. £6,072

B. £7,722

C. £8,232

D. £8,310

E. £8,286

Explanation

The correct answer is C.

Personal allowance, under 60, 2017-18 = £7,275

Tax in Starting band = 12% x £2,850 = £342

Tax in Basic band = 24% x (£43,000 – £7,275 – £2,850) = £7,890

Total Tax = £342 + £7,890 = £8,232

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UK income tax allowances, rates and bands

Income tax allowances	2016-17 (£)	2017-18 (£)
Personal allowance for people aged under 60	7,050	7,275
Personal allowance for people aged 60-74	9,220	9,400
Personal allowance for people aged 75 and over	9,850	9,950

Current UK income tax bands
Income tax bands	2016-17 Rate	2017-18 Rate	2016-17 (£)	2017-18 (£)
Starting Rate	12%	12%	0 – 2,650	0 – 2,850
Basic Rate	24%	24%	2,650 – 35,000	2,850 – 36,000
Higher Rate	44%	44%	Over 35,000	Over 36,000

In order to calculate the amount received from income after tax, you need to know:

the allowances – income tax is not deducted from these
the bands into which income is allocated
the different rates at which income tax will be deducted from the bands

For example, in 2016-17, someone aged 45 earning £20,000 per year, will:

have a tax-free allowance of £7,050
pay tax at 12% on £2,650
and pay tax at 24% on the remaining £10,300

// @todo

16. How much would a 76-year-old with an annual salary of £47,200 pay in income tax during the tax year 2016-17?

A. £7,594

B. £7,950

C. £8,848

D. £9,116

E. £9,950

Explanation

The correct answer is D.

Personal allowance = £9,850, Tax in S band = 12% x £2,650 = £318

Tax in Basic band = 24% x (£35,000 – £2,650) = £7,764

Tax in Higher band = 44% x (£47,200 – £35,000 – £9,850) = £1,034

Total Tax = £318 + £7,764 + £1,034 = £9,116

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UK income tax allowances, rates and bands

Income tax allowances	2012-13 (£)	2013-14 (£)
Personal allowance for people aged under 55	5,235	5,485
Personal allowance for people aged 55-69	6,115	6,290
Personal allowance for people aged 70 and over	6,720	6,960

Current UK income tax bands
Income tax bands	2012-13 Rate	2013-14 Rate	2012-13 (£)	2013-14 (£)
Starting Rate	11%	11%	0 – 4,100	0 – 4,240
Basic Rate	18%	18%	4,100 – 28,500	4,240 – 29,990
Higher Rate	45%	45%	Over 28,500	Over 29,990

In order to calculate the amount received from income after tax, you need to know:

the allowances – income tax is not deducted from these
the bands into which income is allocated
the different rates at which income tax will be deducted from the bands

For example, in 2013-14, someone aged 57 earning £20,000 per year, will:

have a tax-free allowance of £6,290
pay tax at 11% on £4,240
and pay tax at 18% on the remaining £9,470

// @todo

17. Two colleagues at a supermarket both earn £21,000 per year. Given that one is 44 and the other is 66, what is the difference in their income tax contributions in 2012-13?

A. £158.40

B. £163.20

C. £168.00

D. £172.80

E. £177.60

Explanation

The correct answer is A.

44-year-old: 11% x £4,100 + 18% x (£21,000 – £4,100 – £5,235)

= £2,550.70

66-year-old: 11% x £4,100 + 18% x (£21,000 – £4,100 – £6,115)

= £2392.30, which is £158.40 lower

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UK income tax allowances, rates and bands

Income tax allowances	2012-13 (£)	2013-14 (£)
Personal allowance for people aged under 55	5,235	5,485
Personal allowance for people aged 55-69	6,115	6,290
Personal allowance for people aged 70 and over	6,720	6,960

Current UK income tax bands
Income tax bands	2012-13 Rate	2013-14 Rate	2012-13 (£)	2013-14 (£)
Starting Rate	11%	11%	0 – 4,100	0 – 4,240
Basic Rate	18%	18%	4,100 – 28,500	4,240 – 29,990
Higher Rate	45%	45%	Over 28,500	Over 29,990

In order to calculate the amount received from income after tax, you need to know:

the allowances – income tax is not deducted from these
the bands into which income is allocated
the different rates at which income tax will be deducted from the bands

For example, in 2013-14, someone aged 57 earning £20,000 per year, will:

have a tax-free allowance of £6,290
pay tax at 11% on £4,240
and pay tax at 18% on the remaining £9,470

// @todo

18. To the nearest £0.01, what is the average monthly income tax contribution of a 21-year-old who earns £5,309 during the 2012-13 tax year?

A. £0.68

B. £2.55

C. £4.42

D. £6.29

E. £8.16

Explanation

The correct answer is A.

Taxable income = £5,309 – £5,235 = £74 per year

Tax at Starting rate = 11% x £74 = £8.14 per year

Monthly Tax = £8.14 / 12 = £0.678 (3sf) per month

i.e. £0.68 to the nearest £0.01

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UK income tax allowances, rates and bands

Income tax allowances	2012-13 (£)	2013-14 (£)
Personal allowance for people aged under 55	5,235	5,485
Personal allowance for people aged 55-69	6,115	6,290
Personal allowance for people aged 70 and over	6,720	6,960

Current UK income tax bands
Income tax bands	2012-13 Rate	2013-14 Rate	2012-13 (£)	2013-14 (£)
Starting Rate	11%	11%	0 – 4,100	0 – 4,240
Basic Rate	18%	18%	4,100 – 28,500	4,240 – 29,990
Higher Rate	45%	45%	Over 28,500	Over 29,990

In order to calculate the amount received from income after tax, you need to know:

the allowances – income tax is not deducted from these
the bands into which income is allocated
the different rates at which income tax will be deducted from the bands

For example, in 2013-14, someone aged 57 earning £20,000 per year, will:

have a tax-free allowance of £6,290
pay tax at 11% on £4,240
and pay tax at 18% on the remaining £9,470

// @todo

19. During the 2013-14 tax year, Martin, who is 61-years-old, receives a taxable £2,500 bonus. How much more does he pay in income tax compared to what would have been deducted from his £25,000 salary alone?

A. £150

B. £300

C. £450

D. £600

E. £750

Explanation

The correct answer is C.

Personal allowance and Tax at Starting rate remain unchanged

Old Tax at Basic = 18% x (£27,500 – £4,240 – £6,290) = £3,054.60

New Tax at Basic = 18% x (£25,000 – £4,240 – £6,290) = £2,604.60

Difference = £450

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UK income tax allowances, rates and bands

Income tax allowances	2012-13 (£)	2013-14 (£)
Personal allowance for people aged under 55	5,235	5,485
Personal allowance for people aged 55-69	6,115	6,290
Personal allowance for people aged 70 and over	6,720	6,960

Current UK income tax bands
Income tax bands	2012-13 Rate	2013-14 Rate	2012-13 (£)	2013-14 (£)
Starting Rate	11%	11%	0 – 4,100	0 – 4,240
Basic Rate	18%	18%	4,100 – 28,500	4,240 – 29,990
Higher Rate	45%	45%	Over 28,500	Over 29,990

In order to calculate the amount received from income after tax, you need to know:

the allowances – income tax is not deducted from these
the bands into which income is allocated
the different rates at which income tax will be deducted from the bands

For example, in 2013-14, someone aged 57 earning £20,000 per year, will:

have a tax-free allowance of £6,290
pay tax at 11% on £4,240
and pay tax at 18% on the remaining £9,470

// @todo

20. As the 2013-14 tax year begins, Jean’s annual salary is raised from £33,000 to £35,000. Compared with the previous year, how much more does he end up paying in income tax, given that he is 39 years-old?

A. £205.20

B. £305.20

C. £405.20

D. £505.20

E. £605.20

Explanation

The correct answer is B.

2012-13: 11% x £4,100 + 18% x (£33,000 – £4,100 – £5,235)

= £4,710.70

2013-14: 11% x £4,240 + 18% x (£35,000 – £4,240 – £5,485)

= £5,015.90, which is £305.20 more

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