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A shopkeeper cheats 25% in weight while buying rice and cheats 25% while selling it. If he sells the rice at 12 ½ % profit, then find his net profit p
Question

A shopkeeper cheats 25% in weight while buying rice and cheats 25% while selling it. If he sells the rice at 12 ½ % profit, then find his net profit percentage.

A.

82.5%

B.

62.5%

C.

87.5%

D.

92.5%

Correct option is C

Given:
Profit made by a shopkeeper =12.5%
Cheating while buying rice =25%
Cheating while selling rice =25%
Formula Used:
Profit Percentage =  Profit(Cost Price)×100\frac{Profit}{(Cost \ Price) }\times 100​​
Solution:
At the time of buying, shopkeeper does a cheating of 25%
Hence he buys 125 units at a price of 100
At the time of selling he does a cheating of 25%
Hence he sells 75 units at a price of 100 units
He sells goods at a profit of 12.5%
CP= Rs 100 SP= Rs112.5
CP : SP
75  : 125
100 : 112.5
---------------------
7500  : 14062.5
Profit = 14062.5-7500 = 6562.5
Profit percentage = 6562.57500×100=87.5\frac{6562.5}{7500} \times 100 = 87.5%%​

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