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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 - Mathematics

MCQ
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

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Solution

₹ 22,000

Explanation:

Let A contributed x and B (30000−x)

then in Ratio, they will get profit`="x"/(30000-"x")`

when Ratio is exchanged i.e.`=(30000-"x")/"x"`

ATQ

`(30000-"x")-"x"=175/100"x"`

`30000-2"x"=175/100"x"`

`30000=175/100"x"+2"x"`

`30000=375/100"x"`

8000 = x

30000 − x =30000 − 8000

= 22000

Concept: Profit and Loss (Entrance Exam)
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