Question Bank • QB_GA_065 NAT • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

If the price of diesel increases by $25\%$, calculate the percentage by which a tractor operator must reduce diesel consumption so that total expenditure on diesel remains unchanged.

Answer Key:

20

Step-by-Step Solution & Explanation

Let initial price be $P$ and consumption be $C$. Total expenditure $E = P \times C$. New price $P' = 1.25 P$. For expenditure to remain constant: $P' \times C' = P \times C$ $1.25 P \times C' = P \times C \implies C' = \frac{C}{1.25} = 0.80 C$ Reduction in consumption: $\Delta C = \frac{C - 0.80 C}{C} \times 100 = 20\%$
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