A man buys a certain number of oranges at 3 for ₹5 and the same number at 2 for ₹5. He sells all of them at 5 for ₹12. What is his profit percent?
A. 15.2%
B. 12.5%
C. 20%
D. 15%
A. 15.2%
B. 12.5%
C. 20%
D. 15%
Best answer
Answer: A. 15.2%
Answer: (A) 15.2%
Take 6 oranges of each kind (LCM of 3 and 2). Cost = 2 × 5 + 3 × 5 = ₹25 for 12 oranges.
SP of 12 oranges = 12 × \(\frac{12}{5}\) = ₹28.80.
Profit% = \(\frac{3.80}{25} \times 100 = 15.2\%\).
Trap: averaging the rates as "5 oranges for ₹10" (₹2 each) gives 20%; the costs per orange must be averaged, not the counts.
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