the price of sugar increases by 32%. A family reduces its consumption so that the expenditure of the sugar is up only by 10%. If the total consumption of the sugar before the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is :

A. $$8\frac{1}{3}$$

B. $$8\frac{1}{2}$$

C. $$8\frac{3}{4}$$

D. 9

Answer: Option A

Solution(By Examveda Team)

Let the original price of sugar be Rs. 10 per kg
Then, original expenditure = Rs. (10 × 10) = Rs. 100
New expenditure = 110% of Rs. 100 = Rs. 110
New price of sugar = 132% of Rs. 10 = Rs. 13.20
New consumption :
= $$\frac{110}{13.20}$$ kg
= $$\frac{25}{3}$$ kg
= $$8\frac{1}{3}$$ kg