HSC Commerce 12th Board ExamMaharashtra State Board
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# 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

ConceptCommission, Brokerage and Discount

#### 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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