Percentage Increase / Decrease / Change Problems 1 - Percentage Increase / Decrease / Change Problems Sheet 1 Answers

Oct 22, 2026

Percentage increase, decrease, and change problems with worked questions and answer steps. The worksheet presents six scenarios using money, pricing reductions, height change, speaker output power increases, typing speed change, and torch brightness improvements. Each question asks for the resulting value or profit/percentage change. An answers sheet provides the percentage calculations and final results, such as profit percentages, new prices, increased heights, revised outputs, and adjusted rates.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Percentage Increase / Decrease / Change Problems 1

Working out

Percentage Increase / Decrease / Change Problems Sheet 1 Answers

Working out

PERCENTAGE INCREASE / DECREASE /CHANGE PROBLEMS 1 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 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

What does the worksheet ask students to calculate in each question?

It asks for the percentage profit or the new value after an increase or decrease, such as new prices, heights, outputs, or percentage change in performance.

How are percentage decreases handled in these problems?

The decrease is found as a given percentage of the original amount, subtracted from the original to get the new value (e.g., 15% of $28,000, then $28,000 − that amount).

What calculation method is used for percentage increases?

The worksheet uses the increase as a percentage of the original value, adds it to the original, and then reports the final increased amount (e.g., 35% or 85% of the original, then original + increase).

Oct 22, 2026

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