If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, ...
If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much will he reduce the quantity of petrol purchased?
Answer/Solution
8%
Steps/Work
Explanation :
Let the price of 1 litre of petrol be Rs. x and let Raj initially buys 'y' litres of petrol.
Therefore, he would have spent Rs. xy on petrol.
When the price of petrol increases by 25%, the new price per litre of petrol is 1.25x.
Raj intends to increase the amount he spends on petrol by 15%.
i.e., he is willing to spend xy+15% of xy=1.15xy.
Let, the new quantity of petrol that he can get be 'q'.
Then, 1.25x × q=1.15xy.
=>q=1.15xy/1.25x.
=>0.92y.
As the new quantity that he can buy is 0.92y, he gets 0.08y lesser than what he used to get earlier i.e a reduction of 8%.
Answer : C
Let the price of 1 litre of petrol be Rs. x and let Raj initially buys 'y' litres of petrol.
Therefore, he would have spent Rs. xy on petrol.
When the price of petrol increases by 25%, the new price per litre of petrol is 1.25x.
Raj intends to increase the amount he spends on petrol by 15%.
i.e., he is willing to spend xy+15% of xy=1.15xy.
Let, the new quantity of petrol that he can get be 'q'.
Then, 1.25x × q=1.15xy.
=>q=1.15xy/1.25x.
=>0.92y.
As the new quantity that he can buy is 0.92y, he gets 0.08y lesser than what he used to get earlier i.e a reduction of 8%.
Answer : C