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 the capital of $B$

Answer 1

Let investment of $A=x$

then,investment of $B=30000-x$

Ratio in which $A$ and $B$ shared their profit$=x:30000-x$

Suppose total profit is Rs.$30000$

Then profit that $A$ gets$=x$

and profit that $B$ gets$=30000-x$

If their capitals were interchanged,profit that $A$ gets$=30000-x$ because their profit will also interchange.

$x\times \frac{275}{100}=30000-x$

$x\times \frac{11}{4}=30000-x$

$11x=120000-4x$

$15x=120000$

$x=\frac{120000}{15}=8000$

Capital of $B=30000-x=30000-8000=22000$