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Question

K and L sharing profits in the ratio of 7 : 3 admit M on 3/7 share in the new firm which he takes 2/7 from K and 1/7 from L. The new ratio of K , L and M will be ____________.

A
7:3:3
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B
4 : 2 : 3
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C
14 : 6 : 15
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D
29 : 11 : 30
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Solution

The correct option is D 29 : 11 : 30
Let as assume profit of the firm is 1.
M's share in the firm is 3/7 , of which he takes 2/7 from K and 1/7 from L.
Now,
1 - 3/7 = 4/7
K = 7/10 - 2/7 = 49- 20/70 = 29/70
L = 3/10 - 1/7 = 21-10/70 = 11/70
M = 3/7* 10/10 = 30/70

New Profit sharing Ratio is 29 : 11 : 30.


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