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Kamal Started a Business Investing Rs. 9000. After Five Months, Shahid Joined with a Capital of Rs. 8000. If at the End of the Year, They Earn a Profit of Rs. 6970, then What will be Share of Shahid in the Profit?

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Explanation

Kamal started a business investing Rs. 9000.

Shahid joined with a capital of Rs. 8000 (after 5 months).

  • First; we’ll calculate Kamal total investment for 12 months (9000 x 12 = 108000).
  • Second; we’ll calculate Shahid’s total investment for 7 months (8000 x 7 = 56000)

As the ratio of investment equals ratio of profit, this implies that

Kamal : Shahid = 108000 : 56000

Now; as, profit is given (6970) so, required share will be determined by substituting known values in the formula mentioned under as:

Shahid’s share in profit = (Shahid’s ratio of investment x total profit) / total ratio

To Find

Shahid’s share in profit = ?

Solution

Total investment of Kamal for 8 months = 9000 x 12 = 108000

Total investment of Shahid for 7 months = 8000 x 7 = 56000

Kamal : Shahid = 108000 : 56000

Kamal : Shahid = 27 : 14        (27 + 14 = 41)

Shahid’s share in profit = (14 x 6970)/41 = Rs. 2380 answer

Conclusion

Kamal started a business investing Rs. 9000. After five months, Shahid joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then share of Shahid in the profit will be Rs. 2380.

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