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
Answer (as printed): A
Explanation
Let the original price of sugar be ₹ 10 per kg. Then, original expenditure $=₹(10 \times 10)=₹ 100$. New expenditure $=110 \%$ of $₹ 100=₹ 110$. New price of sugar $=132 \%$ of $₹ 10=₹ 13.20$. $$\text { New consumption }=\left(\frac{110}{13.20}\right) \mathrm{kg}=\frac{25}{3} \mathrm{kg}=8 \frac{1}{3} \mathrm{kg} .$$