Question

$A$ and $B$ started a business with a total capital of Rs. $30,000$. At the end of the year, they shared the profit in the ratio of their investments. If their capitals were interchanged, then $A$ would have received $175$% more than what he actually received. Find out the capital of $B$.

• A. Rs. $20,000$
• B. Rs. $22,000$
• C. Rs. $21,000$
• D. Rs. $23,000$

Answer 1

Answer: (B)

Rs. $22,000$

Let $A$ contributed $x$ and $B(30000-x)$
then in Ratio they will get profit $=\frac{x}{30000-x}$
when Ratio exchanged i.e., $=\frac{30000-x}{x}$
ATQ
$(30000-x)-x=\frac{175}{100}x$
$30000-2x=\frac{175}{100}x$
$30000=\frac{175}{100}x+2x$
$30000=\frac{375}{100}x$
$8000=x$
$30000-x=30000-8000=22000$