Question

A and B started a business with a total capital of ` 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.

Options

• ₹ 20,000

• ₹ 22,000

• ₹ 21,000

• ₹ 23,000

Answer 1

₹ 22,000

Explanation:

Let A contributed x and B (30000−x)

then in Ratio, they will get profit${\displaystyle =\frac{\text{x}}{30000-\text{x}}}$

when Ratio is exchanged i.e.${\displaystyle =\frac{30000-\text{x}}{\text{x}}}$

ATQ

${\displaystyle (30000-\text{x})-\text{x}=\frac{175}{100}\text{x}}$

${\displaystyle 30000-2\text{x}=\frac{175}{100}\text{x}}$

${\displaystyle 30000=\frac{175}{100}\text{x}+2\text{x}}$

${\displaystyle 30000=\frac{375}{100}\text{x}}$

8000 = x

30000 − x =30000 − 8000

= 22000