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The tax imposed on an article is decreased by 17% and its consumption increases by 17%. Find the percentage change in revenue.
Question

The tax imposed on an article is decreased by 17% and its consumption increases by 17%. Find the percentage change in revenue.

A.

2.89% increase

B.

2.89% decrease

C.

17% decrease

D.

17% increase

Correct option is B

Given:

Tax is decreased by 17%, Consumption increased by 17%
Formula Used: Percentage change in revenue = (change in price) * (change in quantity)
Solution:

New revenue = (1 - 0.17) * (1 + 0.17) = 0.83 * 1.17 = 0.9711
Percentage change = (0.9711 - 1) * 100 = -2.89% (decrease)
Thus, revenue decreases by 2.89%.

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