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