Question

A reduction of 20% in the price of rice enables a buyer to buy 5 kg more for ₹1200. The reduced price per kg of rice will be:

• A. ₹36
• B. ₹45
• C. ₹48
• D. ₹60

Hint:

For "more quantity for same amount" problems, use: \(\frac{M}{R_2} - \frac{M}{R_1} = \text{extra quantity}\).

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Let original price be \(x\). Reduced price = \(0.8x\).

Step 2: Detailed Explanation:
Quantity difference: \(\frac{1200}{0.8x} - \frac{1200}{x} = 5\)
\(\frac{1500}{x} - \frac{1200}{x} = 5\)
\(\frac{300}{x} = 5\)
\(x = 60\)
Reduced price = \(0.8 × 60 = 48\)

Step 3: Final Answer:
Reduced price per kg is ₹48.