Question

Ravi sold an article to Sudhir at a profit of 6% who in turn sold that to Gopal at a loss of 5%. If Gopal paid Rs. 2,014 for the article, find the cost price of the article for Ravi.

• A. Rs. 2,020
• B. Rs. 2,000
• C. Rs. 1,900
• D. Rs. 2,011

Answer 1

Answer: (B)

Rs. 2,000

Let the $CP$ of the article $=$ Rs. $x$.
SP for Ravi = $CP\times \frac{100+6}{100}=\frac{106}{100}x$
$\therefore CPforSudhir=\frac{106x}{100}$
SP for Sudhir = $\frac{106x}{100}\times \frac{95}{100}$
CP for Goapl = $\frac{106x}{100}\times \frac{95}{100}$
We have, $\frac{106x}{100}\times \frac{95}{100}=2014$
$X$ $=$ Rs. $2000$