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(B) Let the initial consumption be $C_1$ and the initial price be $P_1 = 6$. The initial expenditure is $E = P_1 	imes C_1 = 6C_1$.The new price is $

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$20$

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(B) Let the initial consumption be $C_1$ and the initial price be $P_1 = 6$. The initial expenditure is $E = P_1 	imes C_1 = 6C_1$.The new price is $P_2 = 7.50$. Let the new consumption be $C_2$. Since the expenditure remains constant,$E = P_2 	imes C_2 = 7.50 	imes C_2$.Equating the expenditures: $6C_1 = 7.50C_2$.Solving for $C_2$: $C_2 = \frac{6}{7.50} C_1 = \frac{60}{75} C_1 = 0.8C_1$.The reduction in consumption is $C_1 - C_2 = C_1 - 0.8C_1 = 0.2C_1$.The percentage reduction is $\frac{0.2C_1}{C_1} 	imes 100 = 20\%$.

The price of a commodity rises from $Rs. 6$ per $kg$ to $Rs. 7.50$ per $kg$. If the expenditure cannot increase,what is the percentage reduction in consumption (in $\%$)?

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