Question

Thirty articles are bought at Rs. 450 each. if one-third of these articles be sold at 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole ?

• A. Rs. $531$
• B. Rs. $580$
  
• C. Rs. $632$
  
• D. Rs. $650$
  

Answer 1

The correct option is A Rs. $531$

Given, C.P. of the each article $=Rs450$
C.P. of $10$ articles $=Rs4500$
Loss on $10$ articles $=6$ %
So, Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=6$

$=>\frac{4500-S.P.}{4500}\times 100=6$
$=>4500-S.P.=270$
$=>S.P.=Rs4,230$
Hence, Selling price of $10$ articles $=Rs4,230$
Now, C.P. of $30$ articles = $30\times 450=Rs13,500$
So, Profit on the whole % $=\frac{S.P.-C.P.}{C.P.}\times 100=10$

$=>\frac{S.P.-13,500}{13,500}\times 100=10$
$=>S.P.-13,500=1,350$
$=>S.P$ of all $30$ articles $.=Rs14,850$
Thus, selling price of the remaining $20$ articles $=Rs14,850-Rs4,230=Rs10620$
And Selling price of each article $=\frac{10,620}{20}=Rs531$