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Question

There are three partners P,Q and R sharing profit and loss in the ratio of 4:5:3. Q retires, and the remaining partners agreed to share profit and loss in future in the ratio of 7:8. What is the gaining ratio of the old partners?

A
8:3
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B
5:4
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C
7:8
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D
3:5
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Solution

The correct option is A 8:3
New ratio is 7:8
Old ratio is 4:5:3
find gaining ratio is?
partner P gaining ratio=new ratio-old ratio
=7/15-4/12
=84/180-28/180=56/180
partner R gaining ratio =new ratio-old ratio
=8/15-3/12
=96/180-45/180
=51/180
gain ratio is 56/180:51/180
partner P gaining ratio=new ratio- old ratio
=7/15-4/12
=84/180-28/180=56/180
partner Q gaining ratio=new ratio-old what
=8/15-5/12
=96/180-75/180=21/180
gain ratio =56//180:21/180=
=8:3

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