1.

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 Rs. 6,400 as profit. Find the profit earned by Vivek.

Answer»

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 Rs. 4x for 12 month

Vivek invested Rs. 5x for 3 month

Sunil invested Rs. 6x for 6 month

:. Profit is distributed in the ratio

i.e., 4x x 12 : 5x x 3 : 6x x 6

16x : 5x : 12x

16 : 5 : 12

Also 16 + 5 + 12 = 33

Now given that Ramesh profit is Rs. 6400

:. Ramesh share in the profit

= 16/33 x Total profit

6400 = 16/33 xTotal profit

Total profit = Rs. 13,200

Now Vivek share in the profit = 5/33 x 13200 

= Rs. 2000

and Sunil share in the profit = 12/33 x 13200 

= Rs. 4800



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