Rs. 3,000 is divided among A, B and C in such that A receives \(\frac{1}{3}\) as much as B and C together receive and B receive \(\frac{2}{3}\) as much as A and C together receive. Find the share of C.
Answer & explanation
Correct answer: option 4
In these type of questions always note that the total amount/ratio must be same in all conditions.
⇒ A = \(\frac{1}{3}\)(B + C) ⇒ A : (B + C) = 1 : 3 = 4(total)
⇒ B = \(\frac{2}{3}\)(A + C) ⇒ B : (A + C) = 2 : 3 = 5(total)
make the total equal,
⇒ A : (B + C) = 5 : 15 = 20 (total)
⇒ B : (A + C) = 8 : 12 = 20 (total)
Therefore,
A = 5, B = 8 & C = 20 -(5 + 8) = 7
A : B : C
5 : 8 : 7 = 20
Here,
20 R = 3000 (given)
1R = 150
C = 7R = 7× 150 = 1050