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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 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. 200
B. Rs. 225
C. Rs. 250
D. None of these
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