Question

Raman sold a car to Rajat at a loss of 14.28% Rajat sold it to Vinit at a profit of 66.66%. If Rajat purchased the car at ₹1400, then at what price (in Rs) Raman bought that car?

Answer 1

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Answer 2

Raman purchased the car for ₹2000.

Given:

loss incurred by Raman = 14.28%

profit incurred by Rajat = 66.66%

cost price for Rajat = ₹ 1400

To Find:

the price at which Raman bought the car

Solution:

let the price at which Rajat sold the car to Vinit be x

then, we can form the following equation-

66.66% = (x - 1400)/1400

66.66/100 = (x - 1400)/1400

933.24 = x - 1400

x = 2333.24

thus, the selling price for Raman will be ₹2333.24

let the price at which Raman purchased the car be y

⇒ 14.28/100 = (2333.24 - y)/2333.24

333.19 = 2333.24 - y

y = 2000.14

Thus, Raman purchased the car for approximately ₹2000.

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