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Question

Two positive numbers x and y are inversely proportional. If x increases by 20%, then percentage decrease in y is _____.

A
1734
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B
1623
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C
15
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D
1911
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Solution

The correct option is B 1623
x1y
x=ky, where k is a constant
y=kx
When x increases by 20%,
x=x+20(x)100=6x5y=k(6x5)=5k6x
Change in y=5k6xkx=k6x

Value of y decreases.
Percentage decrease in y is given by,
k6xkx×100
= 16×100
= 503
= 1623

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