A man sells a T.V. set for Rs. 6,900 ans makes a profit of 15%. He sells a second T.V. set at a loss of 10%. If on the whole, he neither gains nor loses, find the cost price of second T.V. set.

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Solution

S.P of first T.V set=Rs .6900

Profit=15%

C.P of first T.V set $= \frac{100}{115} \times 6900 = R s .6000$

Profit $= 6900 - 6000 = 900$

Now man bear loss of Rs.900 as according to the question he neither gain nor loss.

Let the C.P of another T.V set is Rs x

Loss=10%

Then S.P $= \frac{100 - 10}{100} \times x = \frac{90 x}{100} = \frac{9 x}{10}$

Loss $= x - \frac{9 x}{10} = \frac{x}{10}$

$∴ \frac{x}{10} = 900$

$\Rightarrow x = R s .9000$

Hence C.P of second set=Rs.9000.

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