If a person makes a profit of 10% on 1/4 th of the quantity

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If a person makes a profit of 10% on 1/4 th of the quantity sold and a loss of 20% on the rest, then what is his average percent profit or loss ?

1. 12.5% Profit
2. 11.25% loss
3. 11.75% Profit
4. 12.5% loss

Correct Option: D

Suppose CP = Rs. 100
∴ Gain on Rs. 25 = Rs. 2.50
⇒ SP = Rs. 27.50

Loss on Rs. 75 = Rs. 15
⇒ SP = Rs. 60

∴ Total SP = 60 + 27.50 = Rs. 87.50
⇒ Loss = Rs. 12.50 i.e. 12.5% loss.