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Question

# An article is sold at 20% profit. If is cost price is increased by Rs. 50 and at the same time if its selling price is also increases by Rs. 30 , the percentage of profit decrease by 103%. Find the cost price approximately.

A
500
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B
850
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C
700
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D
800
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Solution

## The correct option is A 850Let initial cost price be Rs. xProfit = 20100×x=x5So, Selling price = x+x5=6x5New cost price = x+50New selling price = 6x5+30New profit = (6x5+30)−(x+50)=x5−20Profit%=x5−20(x+50)×100According to the question profit %= (20−103)%=503%So, x5−20x+50×100=503⇒ x−1005(x+50)×100=503⇒ x−100x+50=56⇒ 6x−600=5x+250⇒ x=850Therefore, cost price of article is Rs. 850.

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