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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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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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