A sells an article to B at a gain of 16%, B sells it to C at a loss of 15%, and C sells it to D at a gain of 20%. If the difference between the profits earned by C and A is ₹248, then the loss (in ₹) incurred by B is:
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Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1160.
Let the cost price for A = ₹100
Selling price for A = ₹100 + 16% of 100 = ₹116 [Cost price for B]
Selling price for B = ₹116 - 15% of 116 = ₹98.60 [Cost price for C]
Selling price for C = ₹98.60 + 20% of 98.60 = ₹118.32
Profit of A = ₹16
Profit of C = ₹118.32 - ₹98.60 = ₹19.72
Difference = ₹19.72 − ₹16 = ₹3.72
3.72 → 248
1 unit → 66.67
Loss of B = ₹116 − ₹98.60 = ₹17.40
Actual loss = ₹17.40 × 66.67 = ₹1,160