Reena sold two articles at Rs. $840$ each. On one she gains $20 %$ and on the other she loses $20 %$ . How much does she profit or lose in the whole transaction? Also, find her profit or loss per cent in the whole transaction.

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Solution

$S P = R s . 840$

$g a i n = 20$ %

gain% $= \frac{(S P - C P)}{C P} \times 100$

$20 = \frac{(840 - C P)}{C P} \times 100$

Solving the above equation, we get,

$0.20 C P + C P = 840$

$C P = \frac{840}{1.2} = R s . 700$

$l o s s = 20$ %

loss% $= \frac{(C P - S P)}{C P} \times 100$

$20 = \frac{(C P - 840)}{C P} \times 100$

Solving the above equation, we get,

$C P - 0.20 C P = 840$

$C P = \frac{840}{0.8} = R s . 1050$

$T o t a l - C P = 700 + 1050 = 1750$

$T o t a l - S P = 840 + 840 = 1680$

$l o s s = 1750 - 1680 = R s . 70$

loss% $= \frac{l o s s}{C P} \times 100 = \frac{70}{1750} \times 100 = 4$ %

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Reena sold two articles at Rs. 840 each. On one she gains 20% and on the other she loses 20%. How much does she profit or lose in the whole transaction? Also, find her profit or loss per cent in the whole transaction.

Reena sold two articles at Rs. $840$ each. On one she gains $20 %$ and on the other she loses $20 %$ . How much does she profit or lose in the whole transaction? Also, find her profit or loss per cent in the whole transaction.