A man sells a car to his friend at 10% loss. If the friend

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A man sells a car to his friend at 10% loss. If the friend sells it for Rs. 54000 and gains 20%, the original C.P. of the car was ?

1. Rs. 25000
2. Rs. 37500
3. Rs. 50000
4. Rs. 60000

Correct Option: C

∵ S.P. = Rs. 54000
Gain earned = 20%
∴ C.P. = Rs. (100/120) x 54000 = Rs. 45000
Now, S.P. = Rs. 45000
And Loss = 10%
∴ Original C.P. = Rs. (100/90) x 45000 = Rs. 50000