Question

A reduction of 20% in the price of sugar enables a person to purchase 6 kg more for Rs. 240. What is the original price per kg of sugar?

• A. Rs. 10/kg
• B. Rs. 8/kg
• C. Rs. 6/kg
• D. Rs. 5/kg

Hint:

A 20% price cut lets the same money buy 5/4 times as much; the extra 1/4 of the original quantity equals 6 kg.

Answer 1

The Correct Option is A

Since the price drops by exactly 20%, the quantity buyable for the same money rises by a clean, easy-to-compute fraction, which makes plugging in round numbers a fast route here.

1. A 20% price cut means the new price is $\frac{4}{5}$ of the old price, so the same money now buys $\frac{5}{4}$ times the original quantity.
2. The increase in quantity is therefore $\frac{5}{4}-1=\frac{1}{4}$ of the original quantity, and this equals the given 6 kg.
3. So the original quantity bought for Rs. 240 was $6 \times 4 = 24$ kg.
4. Original price per kg $= \frac{240}{24} = 10$.

So the correct answer is option A, Rs. 10/kg.