Question

If $5\%$ more is gained by selling an article for Rs. $350$ than by selling it for Rs. $340$, what is the cost of the article?

• A. Rs. $50$
• B. Rs. $160$
• C. Rs. $200$
• D. Rs. $225$

Answer 1

Answer: (C)

Rs. $200$

$\Rightarrow$ Let Cost price of the article be $Rs.x$

$\Rightarrow$ When Selling price is Rs.340 then,

$\Rightarrow$ $Gain\%=\frac{340-x}{x}\times 100$

$\Rightarrow$ When Selling price is Rs. 350 then,

$\Rightarrow$ $Gain\%=\frac{350-x}{x}\times 100$

$\Rightarrow$ Hence, $Additional\%gain=\frac{350-x}{x}\times 100-\frac{340-x}{x}\times 100$

$\Rightarrow$ $5=[350-x-340+x]\times \frac{100}{x}$ [It is given gain% = 5%]

$\Rightarrow$ $5x=1000$

$\therefore$ $x=Rs.200$

$\therefore$ Cost price of article is $Rs.200$