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Byju's Answer
Standard IX
Mathematics
Ratio and Proportion
R and S are...
Question
R
and
S
are partners sharing profits in the ratio of
5
:
3
.
T
joins the firm as a new partner.
R
gives
1
/
4
t
h
of his share and
S
gives
1
/
5
t
h
of his share to the new partner.
Find out new profit-sharing ratio.
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Solution
R's old share= 5/8
S's old share= 3/8
T's share= R's sacrifice + S's sacrifice
= [5/8 * 1/4] + [3/8 * 1/5]
= [5/32] + [3/40]
= 37/160
R's new share= 5/8- 5/32
= 15/32
S's new share= 3/8-3/40
= 12/40
New Profit sharing ratio= 75:48:37
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R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R gives 1/4th of his share and S gives 1/5th of his share to the new partner. Find out new profit-sharing ratio.