Question

Srikant bought two cows for Rs. $30000$. By selling one at a loss of $15\%$ and the other at a gain of $19\%$, he found that selling price of both cows is the same. Find the cost price of each ( in Rs).

• A. $10000,20000$
• B. $15000,15000$
• C. $17500,12500$
• D. $17000,12500$

Answer 1

Answer: (C)

$17500,12500$

Let $x,y$ be the $C.P$ of the $2$ cows

$x+y=3000-1$ (given)

One is sold at $15$% loss and other at gain of $19$% S.P of these $2$ are equal

$x-\frac{15}{100}x=y+\frac{19}{100}y$

$85x=119y\Rightarrow x=\frac{119}{85}y$

Using $1$ and above result

$\frac{119}{85}y+y=30000$

$204y=85\times 30000$

$y=12,500$

$x=30000-12500=17500$

Cost price of each cow is $17500,12500$