A man buys 120 toys each at the same cost price. He sells 45% of the toys at 40% profit, one - third of the remaining at 20% profit, and the remaining at a loss which is equal to the cost price of 14 toys. His profit per cent in the entire transaction is:
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Correct answer: D
Explanation
The correct answer is Option 4 i.e. 10%.
Total toys = 120
Let cost price per toy = ₹1 (for easy calculation)
Total CP = ₹120
45% of 120=54 toys
Profit = 40% of ₹1 = ₹0.40 per toy
Total profit = 54 × 0.40 = ₹21.60
Remaining = 120−54 = 66 toys
One-third = 66 ÷ 3 = 22
Profit = 20% of ₹1 = ₹0.20 per toy
Total profit = 22 × 0.20 = ₹4.40
Remaining 44 toys at a loss = cost of 14 toys = ₹14
Total profit = 21.60 + 4.40 − 14 = ₹12
Profit % = (12/120) × 100 = 10 %