Hema bought two pairs of jeans for $I N R 725$ 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 on the whole transaction.

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Solution

Hema bought two pairs of jeans for cost = $725 R s .$
she sold one of them at a gain = $8 %$
and the other one at a loss = $4 %$

also given,
to find out her gain or loss percent on the whole transaction.
cost price (cp) = $725$

Gain = 8 % ( $∵$ selling price = CP + profit)

$S P = C P + P r o f i t \Rightarrow 725 + 8$ % (725)

$\Rightarrow 725 + \frac{8}{100} \times 725 \Rightarrow 725 [1 + \frac{8}{100}]$

$\Rightarrow 725 [\frac{108}{100}] \Leftrightarrow 725 \times 1.08 \Rightarrow 783.00$

$S P = 783$

C.P of $2^{n d}$ Jeans = $725$ $[∵ C P - S P = l o s s]$

loss $= 4 %$

$C P - S P = l o s s$

$S P = l o s s - C P \Rightarrow 725 - \frac{4}{100} \times 725$

$S . P = 725 [1 - \frac{4}{100}] \Rightarrow 696.00$

Total $C . P = 725 + 725 = 1450$

Total $S . P = 783 + 696 = 1479$

SP - CP = profit $\Leftrightarrow P = 1479 - 1450 = 29$

Profit $% = 29 % \Leftrightarrow 29 / 1450 \times 100 = 1 \times \frac{100}{50}$

$[∵ \frac{29}{1450} \times 100 = 2]$

$p r o f i t = 2 %$

$∴$ $g a i n i s 2 %$

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Hema bought two pairs of jeans for INR 725 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 on the whole transaction.

Hema bought two pairs of jeans for $I N R 725$ 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 on the whole transaction.