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A fruit seller sold a basket of fruits at $\text{12.5%}$ loss. Had he sold it for Rs. $108$ more, he would have made a $\text{10%}$ gain. What is the loss in Rupees incurred by the fruit seller?

  1. $48$
  2. $52$
  3. $60$
  4. $108$
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Migrated from GO Civil 4 years ago by Arjun

3 Answers

Best answer
4 votes
4 votes
Let $x$ be the Cost Price.

$12.5\% \ x+10\% \ x=108$

$22.5\% \ x=108$

$\implies x=\dfrac{108}{22.5}$

Loss $=\dfrac{108}{22.5}\times12.5=Rs. \ 60$

So, correct answer is $(C).$
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$12.5=\dfrac{CP-SP}{CP}\times 100\ \ \ \ \      .........(1)$

$10=\dfrac{(SP+108)-CP}{CP}\times 100\ \ \ \ \ ........(2)$

From $(1)$

$SP=CP-\dfrac{12.5\ CP}{100}$

Put the value of $SP$ in $(2)$

$\dfrac{10\ CP}{100}=CP-\dfrac{12.5\ CP}{100}+108-CP$

$CP=480$

Put the value of $CP$ in $(1)$

$SP=420$

Loss in rupees incurred by fruit seller$=60$

1 votes
1 votes
$loss = 12.5\% =\frac{12.5}{100}=\frac18$

$\implies \frac{P}{CP} =\frac{-1}{8} \text{ (- since it is loss) }$

$\implies P=-x,CP=8x~~and~~ SP=CP+P=7x$

$Given ~that$

$SP+108=1.10\times CP$

$\implies 7x+108=1.10 \times8x$

$\implies x=60 $

$Now~ P=-x=-60$

$\therefore loss ~is  ~60$
Answer:

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