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If the price of rice increases by 20% and a person reduces its consumption by 20%, by what percentage will his total expenditure on rice decrease?
Question

If the price of rice increases by 20% and a person reduces its consumption by 20%, by what percentage will his total expenditure on rice decrease?

A.

4%

B.

5%

C.

3%

D.

2%

Correct option is A

Given:
Price increase = 20%
Consumption decrease = 20%
Formula Used:
Net percentage change = x + y +  xy100\frac{xy}{100}​​
Solution:
Substitute the given values into the formula:
x = 20
y = -20
Calculate the net change:
= 20 - 20 +  20×20100\frac{20 \times -20}{100}​​
= 0 - 400100 \frac{400}{100}​ = -4
The negative sign indicates a decrease.
Therefore, the total expenditure decreases by 4%.
Final Answer
So the correct answer is (a)

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