Water tax is increased by 20 % but its consum | vedclass

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(A) Let the initial tax be $T$ and initial consumption be $C$. The initial expenditure is $E_1 = T 	imes C$.After the increase and decrease,the new t

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$4 \%$ decrease

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(A) Let the initial tax be $T$ and initial consumption be $C$. The initial expenditure is $E_1 = T 	imes C$.After the increase and decrease,the new tax is $T' = T 	imes (1 + 0.20) = 1.2T$ and the new consumption is $C' = C 	imes (1 - 0.20) = 0.8C$.The new expenditure is $E_2 = T' 	imes C' = (1.2T) 	imes (0.8C) = 0.96 	imes (T 	imes C) = 0.96 E_1$.The change in expenditure is $E_2 - E_1 = 0.96 E_1 - E_1 = -0.04 E_1$.This represents a $4 \%$ decrease.Alternatively,using the formula for successive percentage change: $	ext{Net change} = x + y + \frac{xy}{100} = 20 - 20 + \frac{20 	imes (-20)}{100} = -4 \%$.Thus,there is a $4 \%$ decrease.

Water tax is increased by $20 \%$ but its consumption is decreased by $20 \% .$ Then the increase or decrease in the expenditure of the money is

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