Question

A man purchased a bullock and a cart for Rs. $1800$. He sold the bullock at a profit of $20\%$ and cart at a profit of $30\%$. His total profit was $\frac{155}{6}\%$. Find the cost price of bullock?

• A. $650$
• B. $750$
• C. $900$
• D. $800$

Answer 1

The correct option is B $750$

Cost Price of bullock and cart $=$ Rs. $1800$
Let bullock price was $X$ and cart price was $(1800-X)$
SP of both $=1800+\frac{155}{6}\%$ of $1800$ $=1800+\frac{155}{6}\times \frac{1}{100}\times 1800=2265$
Profit $=2265-1800=$ Rs. $465$

Then according to the question,we have
$X+20\%$ of $X+(1800-X)+30\%$ of $(1800-X)=2265$
$1.2X+1800-X+\frac{(54000-30X)}{100}=2265$
$1.2X+1800-X+540-0.3X=2265$
$1.2X-1.3X=2265-1800-540$
$-0.1X=-75$
$X=750$
Cost of bullock is Rs. $750$.