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Question

A reduction of 20% in the price of sugar enables a purchaser to obtain 212 kg more for Rs. 160. Find the original price per kg of sugar.
  1. Rs. 16
  2. Rs. 20
  3. Rs. 12
  4. Rs. 24

A
Rs. 16
B
Rs. 12
C
Rs. 20
D
Rs. 24
Solution
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Let the original price per kg of sugar be Rs. x
Then the reduced price per kg = Rs.4x5
Quantity of sugar that can be bought for Rs.160 originally Rs.160x
Quantity of sugar that can be bought for Rs.160 with reduced price =Rs.1604x/5=160×54x
Given 160×54x=160x+52 200x160x=5240x=52x=16
Original price per kg = Rs. 16

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