Question

Mr Leonard wants to top-up his central heating oil tank. The oil tank can take up to 1200 litres of oil. There are already 450 litres of oil in the tank. The price of oil is 81.5p per litre. As a loyal customer, Mr Leonard gets a 7.5% discount on the price of the oil. How much discount does Mr Leonard get on this purchase? Give your answer in £

Answer 1

Mr. Leonard gets £ 45.84375 as discount

Solution:

The oil tank can take up to 1200 liters of oil

There are already 450 liters of oil in the tank

The remaining oil which is to be added is given by :

Remaining oil = 1200 - 450 = 750 liters

The price of oil is 81.5 p per liter

Then calculate the total price of 750 L of oil:

$Total\ Price = 750 \times 81.5 = 61125$

Thus total price is 61125 p

Mr Leonard gets a 7.5% discount on the price of the oil

Therefore,

Discount amount = 7.5 % of 61125

$Discount\ amount = 7.5 \% \times 61125\\\\Discount\ amount = \frac{7.5}{100} \times 61125\\\\Discount\ amount = 0.075 \times 61125\\\\Discount\ amount = 4584.375$

Thus he gets 4584.375 p

We convert p to £

1 p = 0.01£

4584.375 x 0.01 = £ 45.84375

Thus he gets £ 45.84375 as discount