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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$4 \%$ decrease

Vedclass · Answer

(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

Similar Questions

The population of a town increased from $1,75,000$ to $2,62,500$ in a decade. The average per cent increase of population per year is

Rohit spends $40 \%$ of his salary on food,$20 \%$ on house rent,$10 \%$ on entertainment,and $10 \%$ on conveyance. If his savings at the end of a month are $₹ 1500$,then his monthly salary is:

In an election,a candidate who gets $84 \%$ of the votes is elected by a majority of $476$ votes. What is the total number of votes polled?

$A$ merchant has announced a $25 \%$ rebate on the prices of ready-made garments at the time of sale. If a purchaser needs to have a total rebate of $₹ 400$,then how many shirts,each costing $₹ 320$,should they purchase?

From the salary of an officer,$10\%$ is deducted as house rent,$15\%$ of the rest he spends on children's education,and $10\%$ of the balance,he spends on clothes. After this expenditure,he is left with $₹ 1377$. His salary is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module