Question

Three articles A, Band C are bought for Rs. 4,000 each. Article A is sold at a loss of 15% and article B is sold at a profit of 25%. If the average selling price of all the three articles is Rs. 3,960; at what profit or loss per cent is the article C sold ?

• A. $14\%$ Profit
  
• B. $13\%$ Loss
• C. $12\%$ Loss
• D. $11\%$ Profit
  

Answer 1

Answer: (B)

Given, for the first article A

$C.P=Rs4,000$
Loss $=15$ %

So, Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=15$
$=>\frac{4,000-S.P.}{4,000}\times 100=15$
$=>4,000-S.P.=600.$
$=>S.P.=Rs3,400$


Now, for article B
$C.P=Rs4,000$
Profit $=25$ %
Now, with this C.P. and for Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=25$ %
$=>\frac{S.P.-4,000}{4,000}\times 100=25$
$=>S.P.-,000=1000$
$=>S.P.=Rs5,000$

Given, average of all three S.P. $=Rs3,960$
$=>\frac{3,400+5,000+S.P.ofC}{3}=Rs3,960$
$=>S.P.ofC=Rs3,480$

Since for C, S.P. < C.P. there will be a loss
And Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=\frac{4,000-3,480}{4,000}\times 100=13$ %