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Question 56
If the price of Sugar increases by 20%, and Salman intends to spend only an additional 5% on Sugar, then find out the percentage decrease in his sugar consumption.
Solution
Let the initial price and expenditure of sugar be 100p, 100e respectively.
Consumption = $$\ \frac{\ Expenditure\ }{\Pr ice}$$
=$$\ \frac{\ e\ }{p}$$
The increased price of sugar = 120p
Increased expenditure on sugar = 105e
Changed consumption = $$\ \frac{105\ e\ }{120p}$$
=0.875 $$\ \frac{\ e\ }{p}$$
Percentage decrease in consumption = $$\ \frac{(0.875-1)}{1}$$*100
=12.5
B is the correct answer.
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