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. $400$
• B. Rs. $350$
• C. Rs. $300$
• D. Rs. $280$

Answer 1

Answer: (B)

Rs. $350$

Suppose C.P. = Rs. x and S.P. = Rs. y
$\Rightarrow$ 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 $y=\frac{8x}{7}$ Putting the value of y in (2) we get
$9\times \frac{8x}{7}=10x+100\Rightarrow 72x=70x+700\Rightarrow 2x=700\Rightarrow x=350$