Rs. 33630 are divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 7 and the ratio of the amount of B to that of C is 6 : 5. The amount of money received by B is = ?

Answer: Option A

Given, A : B = 3 : 7
B : C = 6 : 5
A : B = 3 : 7 (multiply with 6) and
B : C = 6 : 5 (multiply with 7)
i.e. A : B = 18 : 42 and
      B : C = 42 : 35
∴ A : B : C = 18 : 42 : 35
⇒18x + 42x + 35x = 33630
⇒ x = 354
∴ Money received by B = 42 × 354 = Rs. 14868