This worksheet 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.

**Answer**

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?

**Answer**

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 you answer to 2 decimal places (Pounds and pence) unless it is a whole number.