[8%] If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol

For Competitive Exams

If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much percent will he reduce the quantity of petrol purchased?

10%

Explanation:

Assume that initial price of 1 litre petrol = Rs.100,

Benson spends Rs.100 for petrol such that he buys 1 litre of petrol.

After the increase by 25%, price of 1 litre petrol

$=100+25=125$

Since Benson spends additional 15% on petrol, amount spent by him

$=100+15=115$

Hence quantity of petrol that he can purchase

$=\dfrac{115}{125} litre$

Quantity of petrol reduced

$=\left(1-\dfrac{115}{125}\right)$=$\dfrac{10}{125}$ litre

Required reduction percent

=$\dfrac{\left(\dfrac{10}{125}\right)}{1}$×100=$\dfrac{10}{125}$×100=$\dfrac{10}{5}$×4=2×4=8%

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