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Question

# The cost price of an article is x. It is marked up by 150%. It is sold at Rs. 600 after giving 40% discount. What is x (in Rs.)?

A
494.44
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B
666.66
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C
840
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D
942
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Solution

## The correct option is A 666.66Given that, the cost price of an article is Rs. x. It is marked up by 150% and sold at Rs. 600 after a discount of 40%.To find out: The value of x.C.P.=Rs. xHence, marked price (M.P.)=150% of x=Rs. 1.5xWe know that,S.P.=100−%discount100×M.P.∴ 600=100−40100×1.5x⇒ 600=610×1.5x⇒ 1.5x=1000⇒ x=10001.5=1000015∴ x=666.66Hence, the cost price of the article (x) is Rs. 666.66.

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