Question

A man sells two articles at the same selling price - one at 25% profit and other at 25% loss. What is the overall profit or loss percentage?

• A. 10%
• B. 5%
• C. 6.25%
• D. 12.5%

Answer 1

Answer: (C)

6.25%

For the first article,
$SP=RsS$
Given, $Profit=25$ %
$=>\frac{SP-CP}{CP}\times 100=25$
$=>\frac{S-CP1}{CP1}\times 100=25$
$=>S-CP1=0.25CP1$
$=>1.25CP1=S$
$=>CP1=\frac{S}{1.25}=\frac{4S}{5}$
For the second article,
$SP=S$
Given, $Loss=25$ %
$=>\frac{CP-SP}{CP}\times 100=25$
$=>\frac{CP2-S}{CP2}\times 100=25$
$=>CP2-S=0.25CP2$
$=>0.75CP2=S$
$=>CP2=\frac{S}{0.75}=\frac{4S}{3}$
So, Total SP of the two articles $=RsS+RsS=Rs2S$
Total CP the two articles $=Rs\frac{4S}{5}+Rs\frac{4S}{3}=Rs\frac{32S}{15}=2.133S$
As total CP> SP, there is a loss
So, Loss % $=\frac{CP-SP}{CP}\times 100=\frac{Rs\frac{32S}{15}-2S}{Rs\frac{32S}{15}}\times 100=6.25$ %