A person bought an article and sold it at a loss of 10 % if he had bought it for 20 % less and sold it for Rs. 55 more he would have had a profit of 40 %. The C.P of the article is ______ ?

A. Rs. 276
B. Rs. 250
C. Rs. 200
D. Rs. 225

Explanation:

C.P = Rs. X

S.P = Rs. (90/100 × X) = Rs. (9/10 X)

C.P = Rs. (80/100 × X) = Rs. (4X/5) Gain = 40%

New S.P = Rs. (140/100 × 4X/5)

= Rs. (28/25 X) 28/25 X – 9/10 X = 55 or X = 250