A man marks his goods at a price that would give him 20% profit. He sells 35 of the goods at the marked price and sells the remaining at 20% discount. Find his gain per cent on the whole transaction.
A
10.4%
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B
11.4%
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C
12.4%
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D
13.4%
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Solution
The correct option is A10.4% Let cost price (CP) of goods = X Rs
Since, marked price (MP) would give 20% profit.
∴MP=CP+20%ofCP=X+20%ofX=1.2X
Now, 35th of the goods sold at Marked price.
So, Selling price of 35th of goods = 35×MP=35×1.2X=0.72X
Remaining (1−35=25th) is sold at 20% discount.
So, Selling price of 25th of goods =25×MP−20%of(25×MP)
=25×1.2X−0.2×25×1.2X
=0.48X−0.096X=0.384X
So, Total Selling Price (SP) =0.72X+0.384X=1.104XRs