Hema bought two pairs of jeans for $R s . 1450$ each. She sold one of them at a gain of $8 %$ and the other at a loss of $4 % .$ Find her gain or loss percent in the whole transaction.

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Solution

CP of first jeans $= R s . 1, 450$
Profit $= 8 %$ of CP $= \frac{8}{100} \times 1450 = R s . 116$
SP of first jeans $= R s . 1, 450 + R s . 116 = R s . 1, 566$
CP of second jeans $= R s . 1, 450$
Loss $= 4 %$ of CP $= \frac{4}{100} \times 1450 = R s . 58$
SP of second jeans $= R s . 1450 - R s . 58 = R s . 1, 392$
Total CP of two jeans $=$ CP of first jeans $+$ CP of second jeans $= R s . 1, 450 + R s . 1, 450 = R s . 2, 900$
Total SP of two jeans $=$ SP of first jeans $+$ SP of second jeans $= R s . 1, 566 + R s . 1, 392 = R s . 2, 958$
Here, Total SP of two jeans $>$ Total CP of two jeans.
Gain $=$ Total SP of two jeans $-$ Total CP of two jeans $= R s . 2, 958 - R s . 2, 900 = R s . 58$
$∴$ Gain $% =$ $\frac{Gain}{Total CP of two jeans} \times 100 %$
$= \frac{58}{2900} \times 100 % = 2 %$

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Hema bought two pairs of jeans for Rs. 1450 each. She sold one of them at a gain of 8% and the other at a loss of 4%. Find her gain or loss percent in the whole transaction.

Hema bought two pairs of jeans for $R s . 1450$ each. She sold one of them at a gain of $8 %$ and the other at a loss of $4 % .$ Find her gain or loss percent in the whole transaction.