Multiple choice

If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?

  1. 33 1/3%

  2. 30%

  3. 33%

  4. 35%
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A Correct answer
Explanation

Let the total cost be 840. One-fourth (210) is sold at a 20% loss, meaning a loss of 42. To gain 20% on 840 (168 profit), the remaining 630 must yield a profit of 168 + 42 = 210. The required gain percentage is (210/630) * 100 = 33 1/3%.

AI explanation

Using the balancing method for overall profit, assume the total quantity is 4 units, so one unit is sold at a 20% loss and the remaining three units must balance the transaction. To achieve a total 20% gain, the required profit percentage on the remainder is calculated as (4 multiplied by 20 plus 1 multiplied by 20) divided by 3, which equals 100 divided by 3, resulting in a gain of 33 1/3%.

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