CLAT CLAT Solved Paper-2018

Reshma sells an article to Rekha at 37.5% profit, Rekha sells it to Madhu at \[9\frac{1}{11}\]% profit Again Madhu sells it to Mitu at 25% loss. If Mitu pays ` 342 for the article, then what is the cost price of the article to Reshma?

A) ` 304

B)        ` 266.50

C) ` 380

D)        ` 384.75

Correct Answer: A

Solution :

Sol. [a]

Let x is the cost price for Reshma

Now according to question,

\[x\times \frac{137.5}{100}\times \frac{1200}{1100}\times \frac{75}{100}\,=\,342\]

\[x\,=\frac{342\times 100\times 1100\times 100}{137.5\times 1200\times 75}\]= ` 304

\[\therefore \] Cost price for Reshma = ` 304