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Question

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 A 10.4%
Let cost price (CP) of goods = X Rs

Since, marked price (MP) would give 20% profit.

MP=CP+20% of CP=X+20% of X=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 (135=25th) is sold at 20% discount.

So, Selling price of 25th of goods =25×MP20% of (25×MP)

=25×1.2X0.2×25×1.2X

=0.48X0.096X=0.384X

So, Total Selling Price (SP) =0.72X+0.384X=1.104X Rs

Profit=SPCP=1.104XX=0.104X Rs

Profit percentage=profit×100CP=0.104X×100X=10.4%

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