A sum of Rs. 980 is divided among A, B and C such that A gets 3/7 of B's share and C gets 75% of A's share. The share of C.

A sum of Rs. 980 is divided among A, B and C such that A…

A sum of Rs. 980 is divided among A, B and C such that A gets $\frac{3}{7}$ of B's share and C gets 75% of A's share. The share of C.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. Rs. 180.

A = $\frac{3}{7}$ B

⇒ A/B = 3/7

C = A(75/100)

⇒ A/C = 4/3

⇒ A : B = (3 : 7) × 4 = 12 : 28

⇒ A : C = (4 : 3) × 3 = 12 : 9

⇒ A : B : C = 12 : 28 : 9

So, the share of C = (980/49) × 9 = 180