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A man sells an article at 10% loss. If he had sold it at Rs. 10 more, he would have gained 10% . The cost price of the article is = ?

a) Rs. 50
b) Rs. 55
c) Rs. 100
d) Rs. 110

Answer: a
Explanation: Let the CP1 of Article= 100x
Initial SP1 = 100x – 10% of 100x = 100x – 10x = 90x
If He sold the Article 10% profit
Now SP2 = 100x + 10% of 100x = 100x + 10x =110x
SP2 – SP1 = 10
⇒ 110x – 90x = 10
⇒ 20x = 10
⇒ x = $$\frac{1}{2}$$
Initial Cost of Article = 100 × $$\frac{1}{2}$$ = Rs. 50

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