Mr. Sinha sold two tape-recorders for Rs. 990 each; gaining 10% on one and losing 10% on the other. Find his total loss or gain, as percent, on the whole transaction.

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Solution

In the first transaction,
Profit % $= \frac{S . P . - C . P .}{C . P} \times 100$
$=> \frac{990. - C . P .}{C . P .} \times 100 = 10$
$=> 990 - C . P . = 0.1 C . P .$
$=> 1.1 C . P . = R s 990$
$- > C . P . = R s 900$
Now, at loss $10$ % ,

Loss % $= \frac{C . P . - S . P .}{C . P} \times 100 = 10$
$=> \frac{C . P . - 990}{990} \times 100 = 10$
$=> C . P . - 990 = 99$
$=> C . P . = 990 + 90 = R s 1080$
SO, total C.P. $= R s 900 + R s 1080 = R s 1980$
total S.P. $= R s 990 + R s 990 = R s 1980$
Since, $C . P . = S . P$ , there is no gain or loss.

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