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Question

If 7% of the sale price of an article is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Rs. 1, then what is the cost of the article?

A
Rs. 400
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B
Rs. 350
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C
Rs. 300
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D
Rs. 280
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Solution

The correct option is C Rs. 350
Suppose C.P. = Rs. x and S.P. = Rs. y
7% of y = 8% of x, i.e. 7y = 8x................(i)
and 9% of y = 10% of x + 1 i.e 9y = 10x + 100.............(ii)
From (i) we have y=8x7 Putting the value of y in (2) we get
9×8x7=10x+10072x=70x+7002x=700x=350

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