A dealer sold a TV set at a loss of 27%. Had it sold it for Rs 500 more, he would have lost 17%. For what value should he sell it in order to gain 40%.

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Solution

Let CP was Rs. x
$S P = x - 27 % o f x = x - \frac{27}{100} \times x = \frac{73 x}{100} == 0.73 x$
If he had sold it for Rs. 500 more, loss would have 17%
New $S P = 0.73 x + 500$
$S . P = C . P - l o s s$
$\Rightarrow 0.73 x + 500 = x - \frac{17 x}{100}$
$\Rightarrow 0.73 x + 500 = 0.83 x$
$\Rightarrow 0.1 x = 500$
$\Rightarrow x = 5000$
Then C.P=5000
to gain profit 40%
Then $S . P = \frac{140}{100} \times 5000 = R s .7000$

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A dealer sold a TV set at a loss of 27%. Had it sold it for Rs 500 more, he would have lost 17%. For what value should he sell it in order to gain 40%.

Let CP was Rs. xSP=x−27%ofx=x−27100×x=73x100==0.73xIf he had sold it for Rs. 500 more, loss would have 17%NewSP=0.73x+500S.P=C.P−loss⇒0.73x+500=x−17x100⇒0.73x+500=0.83x⇒0.1x=500⇒x=5000Then C.P=5000to gain profit 40%Then S.P=140100×5000=Rs.7000