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 £.

Mr. Leonard gets £ 45.84375 as discountSolution:The oil tank can take up to 1200 liters of oilThere are already 450 liters of oil in the tankThe remaining oil which is to be added is given by :Remaining oil = 1200 - 450 = 750 litersThe price of oil is 81.5 p per literThen calculate the total price of 750 L of oil:[tex]Total\ Price = 750 \times 81.5 = 61125[/tex]Thus total price is 61125 pMr Leonard gets a 7.5% discount on the price of the oilTherefore,Discount amount = 7.5 % of 61125[tex]Discount\ amount = 7.5 \% \times 61125\\\\Discount\ amount = \frac{7.5}{100} \times 61125\\\\Discount\ amount = 0.075 \times 61125\\\\Discount\ amount = 4584.375[/tex]Thus he gets 4584.375 pWe convert p to £1 p = 0.01£ 4584.375 x 0.01 = £ 45.84375Thus he gets £ 45.84375 as discount