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A reduction of 20 % in the price of sugar enables a purchaser to obtain 3kg more for Rs. 120. The original price of sugar per kg is:________?

Correct answer: C. Rs. 10

  • A. Rs. 15
  • B. Rs. 12
  • C. Rs. 10
  • D. Rs. 8

Explanation

Let the original price be Rs. p per kg. At this price, Rs. 120 buys 120/p kg; after a 20% reduction, the price is Rs. 0.8p per kg and the quantity is 120/(0.8p) kg. Their difference is 3 kg, so 120/(0.8p) − 120/p = 3, giving 30/p = 3 and p = Rs. 10 per kg. Students often choose Rs. 12 by treating the extra 3 kg as a 20% increase in quantity without calculating the original price.

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