Roopal bought a car for $R s . 250000$ and spent $R s . 4000$ on its repair. She sold it to Payal at a gain of $25 %$ who further sold it to Kunal at a loss of $7 %$ . Find the amount paid by Kunal to buy the car.

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Solution

Cost at which Roopal bought a car $= R s . 2, 50, 000$
Money spent by Roopal on its repair $= R s . 4000$
Total cost of car $= R s . 2, 54, 000$
Gain by Roopal after selling the car $= 25 %$
Selling price of car $= R s . 2, 54, 000 + \frac{25}{100}$ of $2, 54, 000$
$= R s . 2, 54, 000 + 63, 500$
$= R s . 3, 17, 500$
Loss after selling car to kunal $= 7 %$
Amount paid by kunal $= R s . 3, 17, 500 - 7 % \times 3, 17, 500$
$= R s . 3, 17, 500 - \frac{7}{100} \times 3, 17, 500$
$= R s . 2, 95, 275$
$∴$ Amount paid by kunal $= R s . 2, 95, 275$ .

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