Q.

A tradesman fixed his selling price of goods at 30% above the cost price. He sells half the stock at this price, one quarter of his stock at a discount of 15% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percent all together.

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a

17

b

16

c

14

d

15

answer is C.

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Detailed Solution

Let the number of goods be x and the cost price be Rs 100.
Total CP = 100x.

Total Marked price = 30% above CP = 130x.
Selling price of half the goods = 65x.
Selling price of first quarter of the goods =1/4 * 130x * 85/100 = 28x.
Selling price of the second quarter of goods =1/4 * 130x * 70/100 = 23x.
Total selling price = ( 65x + 28x + 23x ) = 116x.
Total CP = 100x.
Profit = 16x.
Profit % = ( 16/100 * 100) = 16 %

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