Rs. 7,786 is divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 4 and the ratio of the amount of B to that of C is 12 : 13. The amount of money received by B is:

Total amount = Rs. 7,786

Ratio of A to B = 3 : 4

Ratio of B to C = 12 : 13

When we have two ratios involving a common term (here, B), we can combine them to find the overall ratio of A : B : C.

A : B = 3 : 4 and B : C = 12 : 13

multiplying by 3 in A : B ;

A : B = 9 : 12

Now, A : B : C = 9 : 12 : 13 .

Total parts = 9 + 12 + 13 = 34

So,

B's share = $$\frac{12}{34} \times 7786$$​ = 2748

Thus, The amount of money received by B is Rs. 2,748.