A TV and a DVD player were bought for 10000 each. The shopkeeper made a loss of 6% on the DVD player and a profit of 7% on the TV. Find the gain or loss per cent of the shopkeeper on the whole transaction.
Given:
A TV and a DVD player were bought for 10000 each.
The shopkeeper made a loss of 6% on the DVD player and a profit of 7% on the TV.
To do:
We have to find the gain or loss percent of the shopkeeper on the whole transaction.
Answer:
Cost price of TV $=Rs.\ 10000$
Profit $ \% = 7 \%$
Selling price of TV $= \frac{100 + profit \%}{100} \times CP$
$=\frac{100+7}{100}\times10000$
$= Rs.\ 10700$
Cost price of the DVD player $=Rs.\ 10000$
Loss $ \% = 6 \%$
Selling price of the DVD player $=\frac{100 - loss \%}{100}\times CP$
$= \frac{100-6}{100}\times10000$
$= 9400$
Therefore,
Total cost price $= Rs.\ (10,000 + 10,000) = Rs.\ 20000$
Total selling price $= Rs.\ (10700 + 9400) = Rs.\ 20100$
Here,
Total SP $>$ Total CP
So, there is a profit.
Profit $=$ SP $-$ CP
$=20,100 - 20,000$
$= Rs.\ 100$
Profit $ \%= \frac{Profit}{Total\ CP} \times 100$
$= \frac{100}{20000} \times 100$
$= 0.5 \%$
Hence, gain percent is 0.5%.
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