A, b and c are partners. a receives 2/5 of profit and b and c share the remaining profit equally. a's income is increased by rs220 when the profit rises from 8% to 10%. find the capitals invested by a, b and c
Answers
Answered by
54
Let x be the capital invested by A.
Now
10% x - 8% x = 220 (given)
2%x = 220
x = 220 x 100 = 11000
--------------
2
Thus, A's capital is Rs.11000 which is given to be 2/5 of the share(S).
B and C has a proportion of 1- 2/5 = 3/5
If 2/5 of S = 11,000
S = 11000 x 5/2
3/5 of S = 11000 x 5/2 x 3/5 = Rs. 16,500
Therefore, B's share = C's share = 16,500/2 = Rs.8250
Now
10% x - 8% x = 220 (given)
2%x = 220
x = 220 x 100 = 11000
--------------
2
Thus, A's capital is Rs.11000 which is given to be 2/5 of the share(S).
B and C has a proportion of 1- 2/5 = 3/5
If 2/5 of S = 11,000
S = 11000 x 5/2
3/5 of S = 11000 x 5/2 x 3/5 = Rs. 16,500
Therefore, B's share = C's share = 16,500/2 = Rs.8250
Answered by
16
Answer:A: B and C
2/5 :3/5
2%= 220
100%= 11000
A's profit , 2/3 P= 11000
A capital = 11000
B capital = 8250
C capital =8250
Step-by-step explanation:
Similar questions