46. A, B and C started a business with Rs 60,000. Amount invested by 'A and C' together is twice than that of 'B' while amount invested by 'A' and 'B' together is thrice then that of 'C'. 'A' invested for 6 months, 'B' for 9 months and 'C' for a year. Find the share of 'B' out of total profit of Rs3400
Answers
Answer:
the sorry has a sorry that had a sorry iam sorry
Step-by-step explanation:
iam sorry
Answer:
Share of B = 1200 Rs.
Step-by-step explanation:
Given data:
A, B and C started a business with Rs.60000
A invested for 6 months
B invested for 9 months
C invested for 1 year = 12 months
Amount invested by A and C together is twice then that of B
Amount invested by A and B together is trice then that of C
total profit after 1 year = Rs.3,400
here we need to find share of B in total profit
let a, b and c be the amounts invested by A, B and C respectively
from given data
⇒ total amount invested a+b+c = 60,000_(1)
Amount invested by A and C together is twice then that of B
⇒ a+c = 2b _(2)
⇒ c = 2b - a_(3)
Amount invested by A and B together is trice then that of C
⇒ a+b = 3c _(4)
⇒ a = 3c - b _(5)
substitute (3) in (1)
(1) ⇒ a+b+2b - a = 60,000
3b = 60,000
b = 20,000
substitute b = 20,000 in (2)
(2) ⇒ a+c = 2(20,000) = 80,000
a+c = 40,000
3c - b +c = 40,000 [ from (5) ]
4c = 40,000 + b
4c = 40,000 + 20,000 [ b = 20,000 ]
4c = 60,000
c = 15,000
now substitute b = 20,000 and c = 15,000 in (1)
a + 20,000 + 15,000 = 60,000
a = 60,000 - 35,000 = 25,000
investment of A = 25000, B = 20,000 and C = 15,000
Ratio of the profits of A, B and C
= 25000(6) : 20,000(9) : 15,000(12) [ investment × time ]
= 25(6) : 20(9) : 15(12) [ divided by 1000 ]
= 5(6) : 4(9) : 3(12) [ divided by 5 ]
= 30 : 36 : 36
= 5 : 6 : 6 [ divided by 6 ]
ratio of the profit = 5 : 6 : 6
let 5x, 6x and 6x are be the profits
total amount 5x + 6x + 6x = 3400
17x = 3400
x = 200
share of B in profit = 6x = 6(200) = 1200 Rs.