Question

The prices of two items P and Q in a shop is in the ratio of 4:5. When the price of P is increased by £12 and the price of Q is reduced by £6, then the items have the same price. Find the original price of P.

Step by step if possible pls
thx

Answer 1

Solution for this problem

Answer 2

to find the original price of p first determine the total change in prices: p increased by £12 and q decreased by £6 for a net difference of +£6. this means that if both items had started with the same price before the changes were made then they would still have this same starting price after (since it has gone up for one item and down for another).

next calculate what 5/4ths of this starting price is: (£6 * 5) / 4 = £7.50
then subtract this from 12 to get the original price of p: £12 - £7.50 = £4.50