A, B and C entered into a partnership. A invested 3 times as much as B invested and B invested two-third of what C invested. At the end of the year the profit earned is ₹6,600. The share of B in the profit is:

₹1,200

Profit ratio = Investment ratio × Time

When time is same ,

Profit ratio = Investment ratio

Investment ratio,

A : B = 3 : 1 & B = \(\frac{2}{3}\) C 

B : C = 2 : 3

So, A : B : C = 6 : 2 : 3

Profit ratio of A : B : C = 6 : 2 : 3

11R = 6600

1R = 600

Now, B = 2R = 2 × 600

= 1200

The correct answer is Option (3) → ₹1,200