A personsold an article at a loss of 8 Had he sold it at a gain of 10 5 he would have received 37 mo...........

Quantitative Aptitude (CHSL) Profit and loss

A personsold an article at a loss of 8%. Had he sold it at a gain of 10.5%, he would have received 37 more. What is the costprice of the article?

240

250

210

200

Let x be cost price of the article

Selling price at 8% loss would be

Selling price={cost price×100-loss percentage}/{100}100costprice×100−losspercentage

Selling price={x×100-8}/{100}100x×100−8

Selling price(SP)=0.92x

Selling price at 10.5 % gain would be -

Selling price= costpricex100+gain%/100

selling price= x*100+10.5/100 = 1.105x

Given that person gets 37 Rs due to this profit.

Hence cost price of the article is

SP'-SP=37

1.105x-0.92x=37

0.185x=37

x=37/0.185

x=200

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