The price of sugarcane rises by $50%$. Then by what fraction must a person reduce his consumption so that the expenditure remains same?

A

$41 $

B

$31 $

C

$21 $

D

$32 $

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Solution

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Correct option is B)

Suppose the expenditure on sugar is Rs 100. To consume the same amount of sugar, he has to spend Rs 150. $⟹$Reduction in expenditure is 50 out of 150 i.e., $31 $