Multiple choice

A dealer sold three fourth of his articles at a gain of 20% and the remaining at the cost price. Find the gain percentage in the whole transaction.

  1. 15%

  2. 27%

  3. 30%

  4. 34%

  5. 45%

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A Correct answer
Explanation

Let the total articles be 4 and cost price be 100 each. Total CP = 400. 3 articles sold at 20% gain: 3 * 120 = 360. 1 article sold at CP: 100. Total SP = 460. Gain = 60 on 400, which is (60/400)*100 = 15%.

AI explanation

Assume the total number of articles is 4 and the cost price of each is 100, making the total cost price 400. The selling price of the 3 articles sold at a 20% gain is 3 multiplied by 120, which equals 360. The remaining 1 article is sold at cost price, adding 100 to the total selling price to make it 460. Using the formula for profit percentage, ((460 minus 400) divided by 400) multiplied by 100 gives a total gain of 15 percent.