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A man sold 35th \frac{3}{5}^{\text {th }} of his articles at a gain of 20%20 \% and the remaining at the cost price. The gain earned in the transaction is

Solution

Correct Option: 3
  1. Given:
  • 35\frac{3}{5} of articles sold at 20% gain
    • Remaining 25\frac{2}{5} sold at cost price (0% gain)
  1. Let's say total cost price is 100100 for calculation ease
  1. At cost price 100100:
  • 35\frac{3}{5} part = 6060 worth of goods sold at 20% gain
    • 25\frac{2}{5} part = 4040 worth of goods sold at no gain
  1. Calculating gains:
  • On 6060 worth of goods: 20% gain = 1212
    • On 4040 worth of goods: 0% gain = 00
    • Total gain = 1212
  1. Therefore on 100100 cost price, gain = 1212

So gain percentage = 12%12\%

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