A sells a car to B at $10 %$ loss. If B sells it for Rs. $54000$ and gains $20 %$ . Find the cost price of the car for A.

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Solution

Selling price of the car = Rs. 54000
Gain = 20%
Cost price of A = Rs $\frac{100}{100 + g a i n} \times S . P = \frac{100}{120} \times 54000 = R s . 45000$
New cost price = Rs. 45000.
Loss = 10%
$S . P = [\frac{100}{100 - g a i n} \times C . P] = \frac{100}{90} \times 45000 = R s . 50000$

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A sells a car to B at 10% loss. If B sells it for Rs. 54000 and gains 20%. Find the cost price of the car for A.

Selling price of the car = Rs. 54000Gain = 20%Cost price of A = Rs 100100+gain×S.P=100120×54000=Rs.45000New cost price = Rs. 45000.Loss = 10%S.P=[100100−gain×C.P]=10090×45000=Rs.50000

A sells a car to B at $10 %$ loss. If B sells it for Rs. $54000$ and gains $20 %$ . Find the cost price of the car for A.

Selling price of the car = Rs. 54000
Gain = 20%
Cost price of A = Rs $\frac{100}{100 + g a i n} \times S . P = \frac{100}{120} \times 54000 = R s . 45000$
New cost price = Rs. 45000.
Loss = 10%
$S . P = [\frac{100}{100 - g a i n} \times C . P] = \frac{100}{90} \times 45000 = R s . 50000$