Inverse Proportion Percentage Change

XAT 2019 · Quantitative Ability & Data Interpretation · Easy · Arithmetic

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Two numbers $a$ and $b$ are inversely proportional to each other. If $a$ increases by $100\%$ , then $b$ decreases by:

A.
200%
B.
100%
C.
150%
D.
80%
E.
50%

Answer

Explanation

Since $a \cdot b = k$ , if $a$ increases by $100\%$ , the new $a' = 2a$ . Then $b' = \frac{k}{2a} = \frac{b}{2}$ . Percentage decrease in $b$ is $\frac{b - b/2}{b} \times 100\% = 50\%$ .

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Inverse Proportion Percentage Change

Explanation

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