PERCENTAGE INCREASE / DECREASE /CHANGE PROBLEMS 1 - UK VERSION - Find the percentage increases, decreases and changes

Oct 22, 2026

Practice sheet focused on solving percentage increase, decrease, and change problems using UK-style currency and units. Six word problems ask learners to calculate outcomes such as percentage profit after buying and selling, the new price after a discount, a revised height after an increase in altitude, and a new power or brightness based on percentage changes. Includes a separate answers sheet showing the full calculation steps.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Percentage Increase / Decrease / Change Problems 1

Working out

Sheet 1 Answers UK Version

PERCENTAGE INCREASE / DECREASE /CHANGE PROBLEMS 1 UK VERSION Find the percentage increases, decreases and changes. | Working out | | | | | --- | --- | --- | --- | | 1) | I buy a rare coin for £1,400.
I sell it a few years later for £1,820 . | | | | What is my percentage profit? | | | | | 2) | A car priced at £28,000 is reduced
by 15% in a sale. | | | | What is the new price? | | | | | 3) | A glider is flying at 2,000 ft.
It height increases by 35% as
it rises in the thermals. | | | | What is the new height? | | | | | 4) | Captain has a speaker with an output
of 60 watts. He gets a new speaker
which has a 12% more powerful. | | | | What is the output of his new speaker? | | | | | 5) | Tyger can type at 36 words per minute.
After a touch typing course, he can type at 45 words
per minute. | | | | What is the percentage change? | | | | | 6) | Quadra has a torch with a 50 lumen
output.
Sally’s torch is 65% brighter. | | | | What is the output of Sally’s torch? | | | | PERCENTAGE INCREASE / DECREASE /CHANGE PROBLEMS SHEET 1 ANSWERS UK VERSION Find the percentage increases, decreases and changes. | Working out | | | | | | --- | --- | --- | --- | --- | | 1) I buy a rare coin for £1,400 .
I sell it a few years later for £1,820 . | | | | 1820 – 1400 = 420 420 ÷ 1400 = 0.3 0.3 x 100 = 30% | | What is my percentage profit? | | | 30% profit | | | 2) A car priced at £28,000 is reduced by 15% in a sale. | | | | 15% of £28,000 = £4,200 £28,000- £4,200 = £23,800 | | What is the new price? The new price is £23,800 | | | | | | 3) A glider is flying at 2,000 ft. It height increases by 85% as it rises in the thermals. | | | | 85% of 2,000 = 1700 2,000 + 1,700 = 3,700 | | What is the new height? | | | 3,700 ft | | | 4) Captain has a speaker with an output of 60 watts. He gets a new speaker which is 45% more powerful. | | | | 45% of 60 = 27 60 + 27 = 87 | | | What is the output of his new speaker? | | | The output is 87 watts | | 5) | Tyger can type at 36 words per minute. | | | 45 – 36 = 9 | | | After a touch typing course, he can type at 45 words per | | | 9 ÷ 36 = 0.25 | | | minute. | | | 0.25 x 100 = 25% | | | What is the percentage change? | | | 25% increase | | 6) Quadra has a torch with a 50 lumen output.
Sally’s torch is 65% brighter. | | | | 65% of 50 = 32.5 50 + 32.5 = 82.5 | | What is the output of Sally’s torch? | | | The output is 82.5 lumens. | |

FAQs

How do you find the percentage profit in question 1?

Compute the profit as 1820 - 1400, divide by 1400 to get 0.3, then multiply by 100 to obtain 30% profit.

What is the method to calculate a new price after a discount (question 2)?

Find the discount amount by calculating 15% of 28,000, then subtract it from 28,000 to get the new price of 23,800.

How do you calculate the new output or height when given a percentage increase (questions 3-4 and 6)?

Compute the increase using the given percentage (for example, 35% of 2,000 ft), then add it to the original value to get the new height/output (or brightness).

Oct 22, 2026

Uploaded by Mafia Boss