The price (per litre) of petrol increases by 60%. By what percent should its consumption be reduced such that the expenditure on it increases by 12% only?
The price (per litre) of petrol increases by 60%. By what percent should its consumption be reduced such that the expenditure on it increases by 12% only?
पेट्रोल के मूल्य में (प्रति लीटर ) 60% की वृद्धि होती है। इसकी खपत में कितनें प्रतिशत की कमी कर दी जाए कि इस पर होने वाले व्यय में केवल 12% की वृद्धि हो?
Detailed Solution & Logic
Correct Answer:
30%
$ \text{Let original price per litre} = P, \text{original consumption} = Q $
$ \text{Original expenditure} = PQ $
$ \text{New price} = P(1+0.6) = 1.6P $
$ \text{New expenditure} = 1.12PQ $
$ \text{Let new consumption} = Q' $
$ 1.6P \cdot Q' = 1.12PQ $
$ Q' = \frac{1.12PQ}{1.6P} = 0.7Q $
$ \text{Reduction in consumption} = (Q - Q')/Q \times 100 = (1 - 0.7) \times 100 = 30% $
Answer = 30%
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