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11+ · Ratio and Proportion

EP.M101 Percentage Increase and Decrease in Word Problems

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A jacket costs £60. The shop reduces the price by 25%. What is the new price?

A) £40
B) £45
C) £35
D) £75
E) £15

(Total for Question 1 is 1 mark)

A camera priced at £180 is increased by 10%. What is the new price?

A) £162
B) £198
C) £188
D) £200
E) £18

(Total for Question 2 is 1 mark)

A coat costs £80. The price goes up by 15%. What is the new price?

A) £96
B) £92
C) £100
D) £88
E) £98

(Total for Question 3 is 1 mark)

After a 30% reduction an item costs £63. What was the original price?

A) £90
B) £81
C) £70
D) £45
E) £100

(Total for Question 4 is 1 mark)

A class had 24 pupils. The class size increased by 12.5%. How many pupils are there now?

A) 26
B) 27
C) 28
D) 30
E) 29

(Total for Question 5 is 1 mark)

A hat costs £25 before VAT. VAT at 20% is added. What is the total price including VAT?

A) £30
B) £29
C) £25.20
D) £35
E) £27

(Total for Question 6 is 1 mark)

After a 40% discount a jumper costs £39. What was the price before the discount?

A) £65
B) £60
C) £70
D) £52
E) £78

(Total for Question 7 is 1 mark)

Which is the larger absolute change: 25% of £120 or 20% of £150?

A) 25% of £120 is larger
B) 20% of £150 is larger
C) They are equal
D) Cannot be determined
E) Neither is a percentage

(Total for Question 8 is 1 mark)

A teacher receives an 8% pay rise. Her salary was £22,500. Work out her new salary.

(Total for Question 9 is 2 marks)

Mark scheme · EP.M101 Percentage Increase and Decrease in Word Problems

Question 1

B1 correct option B (£45) cao
Answer: B) £45 (25% of £60 is £15, so 60 - 15 = £45.)

Question 2

B1 correct option B (£198) cao
Answer: B) £198 (10% of £180 is £18, so 180 + 18 = £198.)

Question 3

B1 correct option B (£92) cao
Answer: B) £92 (15% of £80 is £12, so 80 + 12 = £92.)

Question 4

B1 correct option A (£90) cao
Answer: A) £90 (Let original be x. After 30% reduction price is 0.7x = 63 so x = 63/0.7 = £90.)

Question 5

B1 correct option B (27) cao
Answer: B) 27 (12.5% of 24 is 3, so 24 + 3 = 27.)

Question 6

B1 correct option A (£30) cao
Answer: A) £30 (20% of £25 is £5, so total = 25 + 5 = £30.)

Question 7

B1 correct option A (£65) cao
Answer: A) £65 (Let original be x. After 40% discount you pay 0.6x = 39 so x = 39/0.6 = £65.)

Question 8

B1 correct option C (They are equal) cao
Answer: C) They are equal (25% of £120 = £30; 20% of £150 = £30.)

Question 9

M1 Correct method to find 8% of 22,500 seen (eg 22,500 x 0.08 = 1,800) or multiplication by 1.08
A1 £24,300 cao
Answer: £24,300

Percentage Increase and Decrease in Word Problems - Worksheets, Questions and Revision