Question

5. A, B and Center into a partnership, agree-
ing to share profits in ratio of their capitals. If 3 (A's capital)
= 4 (B's capital) = 5 (C's capital), find the share of each
partner in a profit of Rs. 94,000.​

Answer 1

Given:    3A=4B=5C

              Total Profit = 94000

To find:    Share of A,B and C

Solution:   Let 3A=4B=5C=k

             ⇒$A=\frac{k}{3}$,   $B=\frac{k}{4}$, $C=\frac{K}{5}$

A:B:C= K/3 : K/4 : K/5      

LCM of 3, 4 and 6 is 60, so multiply each no. by 60.

A:B:C= 20K:15K:12K = 20 : 15 : 12

Share of A = $\frac{20}{20+15+12}9400$ $=4000$

Share of B = $\frac{15}{20+15+12}9400=3000$

Share of C= $\frac{12}{12+15+12} 9400=2400$