R and T are partners in a firm sharing profits in the ratio of 3:2 . S joins the firm surrenders 1/4th of his share and T 1/5th of his share in favour of S.
Answers
Answer:
Old ratio = 3:2
Sacrificing Ratio = Old Ratio \times× Surrender Ratio
Sacrificing ratio for R
=\frac{3}{5} \times \frac{1}{4}=\frac{3}{20}=
5
3
×
4
1
=
20
3
Sacrificing ratio for T
=\frac{2}{5} \times \frac{1}{5}=\frac{2}{25}=
5
2
×
5
1
=
25
2
New Ratio = Old ratio – Sacrificing ratio
R’s share
=\frac{3}{5}-\frac{3}{20}=\frac{12-3}{20}=\frac{9}{20}=
5
3
−
20
3
=
20
12−3
=
20
9
T’s share
=\frac{2}{5}-\frac{2}{25}=\frac{10-2}{25}=\frac{8}{25}=
5
2
−
25
2
=
25
10−2
=
25
8
S's share = R's sacrifice + S's sacrifice
S's share will be sacrifice done by R’s and T’s
=\frac{3}{20}+\frac{2}{25}=\frac{15+8}{100}=\frac{23}{100}=
20
3
+
25
2
=
100
15+8
=
100
23
New Profit Sharing Ratio R, T and S
=\frac{9}{20}: \frac{8}{25}: \frac{23}{100}=
20
9
:
25
8
:
100
23
=\frac{45: 32: 23}{100}=
100
45:32:23
New ratio can be written as 45: 32: 23