A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price,one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is -

Answer: Option A

Let C.P. of whole stock = Rs. 100
Then,
Marked price of whole stock = Rs. 120
$$\begin{array}{rl}& \text{M}\text{.P}\text{. of }\frac{1}{2}\text{ stock}\\ & \text{ = Rs}\text{. 60,}\\ & \text{M}\text{.P}\text{. of }\frac{1}{4}\text{ stock}\\ & \text{ = Rs}\text{. 30}\end{array}$$
∴ Total S.P.
= Rs. [60 + (80% of 30) + (60% of 30)]
= Rs. (60 + 24 + 18) = Rs. 102
Hence, gain% = (102 - 100)% = 2%