A shopkeeper sold 5/8 of his articles at a gain of 20% and the remaining at the cost price. What is his gain percentage in the whole transaction?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. %.
Let the total cost price of the articles be ₹8x
The cost price of the first articles = ₹5x
The cost price of the remaining articles = ₹3x
Now,
The selling price of the first set of articles (20% gain) = 5x × 1.2 = 6x
The selling price of the second set of articles (no gain) = 3x
Total selling price = 6x + 3x = 9x
Now,
Gain% = (9x - 8x)/8x × 100
⇒ x/8x × 100 = 100/8 = %