Question

A fruit seller bought 80 kg of apples at Rs. 12.50 per kg. He sold 50 kg of it at a loss of 10 per cent. At what price per kg should he sell the remaining apples so as to gain 20 per cent on the whole?

• A. Rs. 12.25
• B. Rs. 15.25
• C. Rs. 19.25
  
• D. Rs. 21.25

Answer 1

Answer: (D)

Rs. 21.25

Given, cost price of $1$ kg apples $=Rs12.50$
=> Cost price of $50$ kg apples $=Rs12.50\times 50=Rs625$
Now, Loss on $50$ kg apples % $=10$ %
$=>\frac{C.P.-S.P.}{C.P.}\times 100=10$

$=>\frac{625-S.P.}{625}\times 100=10$

$=>625-S.P.=\mathrm{62.5.}$
$=>S.P.=Rs562.5$
$=>S.P.$ of $50$ kg apples $=Rs562.5$
Now,
For, Remaining $30$ kg apples ,
Cost price of $30$ kg apples $=Rs12.50\times 30=Rs375$
Let Selling price of $30$ kg apples $=Rsx$
So, Total CP of $80$ kg apples $=Rs625+Rs375=Rs1000$
And Total SP of $80$ kg apples $=Rs562.5+Rsx$
Hence, for required Profit on the whole % $=\frac{S.P.-C.P.}{C.P.}\times 100=20$
$\frac{562.5+x-1000}{1000}\times 100=20$
$=>x-437.5=200$
$=>x=Rs637.5$
Thus, Selling price of $1$ kg apple $=Rs\frac{637.5}{30}=Rs21.25$