Question

$X$ sells an article to $Y$ at $15\%$ profit. $Y$ sells it to $Z$ at $10\%$ profit. What is $X^{\prime }s$ cost price, if $Y$ makes a profit of $23?$

• A. $200$
• B. $180$
• C. $150$
• D. $120$

Answer 1

The correct option is A $200$

Let the $CP$ of the article be $Rs.100$.
Then for $XtoY$:
Given, $Profit=15$ %
$\Rightarrow \frac{SP-CP}{CP}\times 100=15$
$\Rightarrow \frac{S_x-100}{100}\times 100=15$
$\Rightarrow S_X=Rs115$
Now, for $YtoZ$,
$CP=Rs115$
Given, $Profit=10$ %

$\Rightarrow \frac{SP-CP}{CP}\times 100=10$
$\Rightarrow \frac{S_Y-115}{115}\times 100=10$
$\Rightarrow S_Y=Rs126.5$
So, profit for Y $=126.5-115=Rs11.5$ when CP of article for X $=Rs100$
But given profit $=Rs23$
So, actual CP $=Rs.\frac{23}{11.5}\times 100=Rs.200$