Question

By selling two articles, a man gains Rs. 3,750 on the whole, He sells one article for Rs. 69,000 at 15% profit. Find the cost price of the other article, if it is sold at 20% loss.

• A. Rs. 20,121
• B. Rs. 22,363
  
• C. Rs. 26,250
• D. Rs. 29,225

Answer 1

Answer: (C)

Rs. 26,250

Given, Profit % on Article 1 at $SP1=Rs69,000$ is $=\frac{S.P-C.P.}{C.P.}\times 100=15$ %
$=>\frac{69,000-C.P.1}{C.P.1}\times 100=15$
$=>69,000-C.P.1=0.15C.P.1$
$=>1.15C.P.1=69,000$
$C.P.1=Rs60,000$ --- (1)
Given, Loss % on Article 2 is $=\frac{C.P-S.P.}{C.P.}\times 100=20$ %
$=>\frac{C.P2-S.P.2}{C.P.2}\times 100=20$
$=>C.P2-S.P.2=0.2C.P.2$
$=>0.8C.P2=S.P.2$ --- (2)
Given, Gain on the whole $=Rs3,750$
$=>S.P.1+S.P.2-C.P.1-C.P.2=Rs3,750$
$=>69,000+0.8C.P.2-60,000-C.P.2=Rs3,750$
$=>0.2C.P.2=Rs5,250$
$C.P.2=Rs26,250$
So, cost price of 2nd article $=Rs26,250$