Question

Shridhar bought two buffaloes 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 buffaloes is the same. Find the cost price of each ( in Rs)

• A. $10000,20000$
• B. $15000,15000$
• C. $17500,12500$
• D. $16000,14000$

Answer 1

Answer: (C)

$17500,12500$

Let the cost price of one buffalo be Rs. $x$

Then cost price of the other buffalo $=$ Rs. $(30000-x)$
S.P. of first buffalo $=$ $\frac{(100-15)}{100}\times x=Rs.\frac{85x}{100}$
S.P. of second buffalo $=$ $\frac{(100+19)}{100}\times (30000-x)=\frac{119}{100}\times (30000-x)$
$\because$ Selling price of both buffaloes is the same $\frac{85x}{100}=\frac{119(30000-x)}{100}$
$\Rightarrow 5x=7(30000-x)$

$\Rightarrow 12x=210000$

$\Rightarrow x=\frac{210000}{12}=Rs.17500$
$\therefore$ Cost price of the other buffalo $=$ Rs. $12500$