Vaibhav sold two radios at rupees 924 each. On one he gains 20% and on other, he loses 20%. How much does he gain or lose in the whole transaction.
Given:
Vaibhav sold two radios at rupees 924 each. On one he gains 20% and on other he loses 20%.
To do:
We have to find total gain or loss percent.
Answer:
Selling price of one radio $(SP)=Rs.\ 924$
Profit $ \% = 20 \%$
Cost price of one radio $= \frac{100 \times SP}{(100 + 20)}$
$= 100 \times \frac{924}{120}$
$= Rs.\ 770$
SP of the second radio $=Rs.\ 924$
Loss $ \% = 20 \%$
Cost price of the other radio $=\frac{100 \times SP}{100 - 20}$
$= 100 \times\frac{924}{80}$
$= Rs.\ 1155$
Therefore,
Total cost price of two radios $= Rs.\ (770 + 1155) = Rs.\ 1925$
Total selling price of two radios $= Rs.\ (924 + 924) = Rs.\ 1848$
Here,
Total SP $<$ Total CP
So, there is a loss.
Loss $=$ CP $-$ SP
$=1925 - 1848$
$= Rs.\ 77$
Loss $ \%= \frac{Loss }{Total\ CP} \times 100$
$= \frac{77}{1925} \times 100$
$= 4 \%$
Hence, loss percent is 4%.
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