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A reduction of 20 % in the price of rice enables a person to buy 3.5 kg more rice for Rs. 385. The original price of rice is:________?

Correct answer: D. Rs. 27.50 per kg

  • A. Rs. 20 per kg
  • B. Rs. 22.50 per kg
  • C. Rs. 25 per kg
  • D. Rs. 27.50 per kg

Explanation

If the original price is p rupees per kg, the reduced price is 0.8p rupees per kg. Therefore, 385/p kg less 385/(0.8p) kg gives 3.5 kg, so 385 × (1/0.8 − 1) ÷ 3.5 = 27.5 rupees per kg. A student may choose c, Rs. 25 per kg, by applying the 20% reduction to the quantity instead of comparing the two quantities bought.

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