Question

Arun sells a car to his friend Amit at 10% loss. If Amit sells the car for 54,000 and gains 20% then find the cost price of the car.​

Answer 1

Answer:

Cost Price for Arun = 50,000 /- [Cost of the Car]

[MARK THE ANSWER AS BRAINLIEST]

Step-by-step explanation:

For Amit:

S.P = 54,000

Gain = 20%

Let C.P be x

x + 20% of x = 54,000

120x/100 = 54,000

x = 45,000

Cost Price for Amit = 45,000

For Arun:

Cost Price for Amit = Selling Price for Arun = 45,000

Loss = 10 %

Let C.P be y

y - 10% of y = 45,000

90y/100 = 45,000

y = 50,000

Cost Price for Arun = 50,000

Answer 2

Selling price of the car = Rs. 54000

Gain = 20%

Cost price of A = Rs $\frac{100}{100+gain}$ × S.P= $\frac{100}{120}$×54,000=45,000

New cost price = Rs. 45,000.

Loss = 10%

S.P=[$\frac{100}{100-gain}$×C.P]=$\frac{100}{90}$×45000=Rs. 50,000

#SPJ3