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Finding the Original Quantity After a Percentage Increase or Decrease

In this worksheet, students find the original quantity after a percentage increase/decrease.

'Finding the Original Quantity After a Percentage Increase or Decrease' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Define, Interpret and Compare Percentages

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

This activity is about finding the original quantity after a percentage increase/decrease has been applied.


Example 1

In a sale, the price of a DVD player, after a 20% reduction, is £65. Find its price before the sale.



80% of original price = £65.

0.8 × original price = £65.

Original price = £65 ÷ 0.8 = £81.25


Example 2

A sum of money is deposited in a bank account paying 6% interest per annum (every year). After one year there is £1113 in the account. How much money was deposited?



106% of original sum = £1113.

1.06 × original sum = £1113.

Original sum deposited = £1113 ÷ 1.06 = £1050


ALWAYS CHECK that the sale price is less than the original and that an increased quantity is more than the original.


In this worksheet, don't put units in your answer.

If the question is about money, remember to give your answer to 2 decimal places (Pounds and pence) unless it is a whole number.


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