Salman sells two cycles at $R s . 2500$ each. If he makes a profit of $25 %$ on one and incurs a loss of $25 %$ on the other, find his net profit or loss $% .$

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Solution

SP of each cycle $= R s . 2500$
Profit $%$ for first cycle $= 25 %$
CP of the first cycle $= \frac{SP \times 100}{100 + Profit %} = \frac{2500 \times 100}{(100 + 25)} = \frac{250000}{125} = R s . 2000$
Loss $%$ for the second cycle $= 25 %$
And CP of the second cycle $= \frac{SP \times 100}{100 - Loss %} = \frac{2500 \times 100}{(100 - 25)} = \frac{250000}{75} = R s . 3333.33$

Total CP of two cycle $= 2000 + 3333.33 = R s . 5333.3$
Total SP $= 2500 + 2500 = R s . 5000$
So, $C P > S P,$ hence loss.
Net Loss $% = \frac{Total Loss}{Total CP} \times 100$
$= \frac{S p - C P}{C P} \times 100 %$
$= \frac{5333.3 - 5000}{5000} \times 100 %$
$= \frac{333.3}{50} \times 1 %$
$= 6.67 %$

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Salman sells two cycles at Rs. 2500 each. If he makes a profit of 25% on one and incurs a loss of 25% on the other, find his net profit or loss %.

Salman sells two cycles at $R s . 2500$ each. If he makes a profit of $25 %$ on one and incurs a loss of $25 %$ on the other, find his net profit or loss $% .$