Question

The price of a holiday increases by 20% This 20% increase adds £240 to the price of the holiday. Work out the price of the holiday before the increase.

Answer 1

x= initial price

the price increases by 20%, i.e. a coefficient of 1+(20/100)= 1.2

this 20% = £240

1.2x = final price

1.2x= x+240

1.2x=x+240

1.2x-x=240

0.2x=240

x = 1200

price before: £1200

Step-by-step explanation:

Answer 2

To find the price of the holiday before the 20% increase, we can set up an equation and solve for the original price. The original price of the holiday is £1200.

Step-by-step explanation:

To find the price of the holiday before the 20% increase, we need to solve for the original price. Let's say the original price of the holiday is x. We are given that a 20% increase in price adds £240. This means that 20% of x is equal to £240. We can write this as the equation:

0.20x = £240

To solve for x, we divide both sides of the equation by 0.20:

x = £240 ÷ 0.20 = £1200

Therefore, the price of the holiday before the increase was £1200.