A started a business. After 6 months from the start of the business, B and C joined. The respective ra between the investments of A. B and C was 2:3:4. If the A's share in annual profit was Rs. 230 more to B's share, what was the total annual profit earned?
Answers
Answer:
Step-by-step explanation:
Ratio of the equivalent capitals of A, B and C for 1 month
= (12 x 4) : (6 x 8) : ( 5 x 8) = 48 : 48 : 40
= 6 : 6 : 5
Sum of ratios = 6 + 6 + 5 = 17
If total annual profit be Rs.x then
A's share - C's share = 250
=> 6x/17 - 5x/17 = 250
=> x/17 = 250
=> x= 17 x 250 = Rs. 4250
Step-by-step explanation:
- Business was initiated by A
- After 6 months from the start of the business,
- B and C joined.
- Their ratio = A: B : C = 2: 3 : 4
- A's share in annual profit = Rs. 230 more than B's share
The total annual profit earned = ??
Solution :
Their ratio =
A : B : C = 2 : 3 : 4
A's invested for 12 month :
⇒ 2 × 12 = 24
B's invested for 6 months :
⇒ 3 × 6 = 18
C's invested for 6 months :
⇒ 4 × 6 = 24
Their Investment ratio =
24 : 18 : 24 = 4 : 3 : 4
Let,
The total annual profit = x
⇒ 4x/11 - 3x/11 = 230
⇒ 1x/11 = 230
⇒ x = 230 × 11
⇒ x = 2,530
The total annual profit = Rs.2,530
Therefore, The total annual profit earned = Rs.2,530.