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:_________?

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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:_________?

A. Rs. 25000
B. Rs. 37500
C. Rs. 50000
D. Rs. 60000
Explanation:
S.P = Rs. 54000,
Gain earned = 20%
C.P = Rs. (100/120 × 54000) = Rs. 45000
S.P = Rs. 45000 and loss = 10%
C.P = Rs. (100/90 × 45000) = Rs. 50000