HSC Commerce 12th Board ExamMaharashtra State Board
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Solution for Ramesh, Vivek and Sunil Started a Business by Investing Capitals in the Ratio 4 : 5 : 6. After 3 Months Vivek Withdrew All His Capital and After 6 Months Sunil Withdrew All His Capital from the - HSC Commerce 12th Board Exam - Mathematics and Statistics

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Question

Ramesh, Vivek and Sunil started a business by investing capitals in the ratio 4 : 5 : 6. After 3 months Vivek withdrew all his capital and after 6 months Sunil withdrew all his capital from the business. At the end
of the year Ramesh received ` 6,400 as profit. Find the profit earned by Vivek.

Solution

Since Ratio of their capital is 4 : 5 : 6
∴ Let Ramesh capital be 4x, Vivek capital be 5x
and Sunil capital be 6x
∴Ramesh invested ` 4x  "for" 12  "month"
"Vivek invested"  ` 5x for 3 month
Sunil invested ` 6x for 6 month
∴Profit is distributed in the ratio 

i.e., 4x × 12 : 5x × 3 : 6x × 6
16x : 5x : 12x
16 : 5 : 12
Also 16 + 5 + 12 = 33
Now given that Ramesh profit is ` 6400
∴ Ramesh share in the profit

`=16/33xx"Total Profit"` 

`6400=16/33xx"Total Profit"` 

Total profit = ` 13,200 

Now Vivek share in the profit =`5/33xx13200` 

                         =`Rs 2000` 

and Sunil share in the profit = `12/33xx13200` 

                                        =`Rs 4800`

  Is there an error in this question or solution?

APPEARS IN

 2017-2018 (March) (with solutions)
Question 5.1.1 | 3.00 marks

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Solution Ramesh, Vivek and Sunil Started a Business by Investing Capitals in the Ratio 4 : 5 : 6. After 3 Months Vivek Withdrew All His Capital and After 6 Months Sunil Withdrew All His Capital from the Concept: Commission, Brokerage and Discount.
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