The price of coal is increased by 20 By what percent a family should decrease its consumption so tha...........

Quantitative Aptitude (PCS) Percentage

The price of coal is increased by 20%. By what percent a family should decrease its consumption so that expenditure remains same?

25%

14(2/7)%

16(2/3)%

20%

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Explanation:

Correct option 3: 16 (2/3)%
Increase in coal price = 20%
Decrease in Consumption (%) = (Increase in Price / (100+ Increase in Price)) × 100%
Decrease in Consumption (%) = (Increase in Price / (100 + Increase in Price)) × 100%
Decrease in Consumption (%) = (20/(100 + 20)) × 100%
Decrease in Consumption (%) = (20/120) x 100 = 16.67%
Hence, the correct answer is 16(2/3)%