Here, p₁ : p₂ : p₃ = 5 : 3 : 1 and x₁ : x₂ : x₃ = 5 : 6 : 8
According to the formula,
Required ratio = p₁/x₁ : p₂/x₂ : p₃/x₃

Correct Option: D

Here, p₁ : p₂ : p₃ = 5 : 3 : 1 and x₁ : x₂ : x₃ = 5 : 6 : 8
According to the formula,
Required ratio = p₁/x₁ : p₂/x₂ : p₃/x₃
= 5/5 : 3/6 : 1/8
= 1 : 1/2 : 1/8 = 8 : 8/2 : 8/8 = 8 : 4 : 1

Let B remained in the business for N months. Then,
A : B = (2250 x 12) : (2700 x N)
⇒ 2 : 1 = (27000 : 2700N) = (10 : N)
∴ 10/N = 2/1 [ ∵ Ratio of profit is 2 : 1]

Correct Option: D

Let B remained in the business for N months. Then,
A : B = (2250 x 12) : (2700 x N)
⇒ 2 : 1 = (27000 : 2700N) = (10 : N)
∴ 10/N = 2/1 [ ∵ Ratio of profit is 2 : 1]
⇒ 2N = 10
∴ N = 10/2 = 5
Clearly, B joined after (12 - 5) = 7 months.

Let the total profit be ₹ N,
Then, A's share in profit = ₹ 3N/5
Remaining profit = N - 3N/5 = (5N - 3N) / 5 = 2N/5
∴ B's share in profit = ₹ N/5
C's share in profit = ₹ N/5

Correct Option: C

Let the total profit be ₹ N,
Then, A's share in profit = ₹ 3N/5
Remaining profit = N - 3N/5 = (5N - 3N) / 5 = 2N/5
∴ B's share in profit = ₹ N/5
C's share in profit = ₹ N/5

According to the question,
(3N/5 - N/5) = 400
2N/5 = 400; N = (400 x 5)/2 = ₹ 1000

Let share of Raghu be 100. Then share of Mona = 90 and share of Sonu = 99
Sonu : Mona : Raghu = 99 : 90 : 100
∴ Investment of Raghu = [100/(99 + 90 + 100)] x 5780

Correct Option: B

Let share of Raghu be 100. Then share of Mona = 90 and share of Sonu = 99
Sonu : Mona : Raghu = 99 : 90 : 100
∴ Investment of Raghu = [100/(99 + 90 + 100)] x 5780
= (100/289) x 5780 = ₹ 2000

Time is not given in the question. So, we cannot find the profit of Ramesh.

Correct Option: D

Time is not given in the question. So, we cannot find the profit of Ramesh. Hence, the data is inadequate.