Rs. 5625 is divided among A, B and C in such a way that A receive \(\frac{1}{2}\) of the sum of B & C and B receive \(\frac{1}{4}\) of the sum of A & C. Find the amount received by A & B together.
Answer & explanation
Correct answer: option 3
In these type of questions always note that the total amount/ratio must be same in all conditions.
⇒ A = \(\frac{1}{2}\)(B + C) ⇒ A : (B + C) = 1 : 2 = 3(total)
⇒ B = \(\frac{1}{4}\)(A + C) ⇒ B : (A + C) = 1 : 4 = 5 (total)
make the total equal,
⇒ A : (B + C) = 5 : 10 = 15 (total)
⇒ B : (A + C) = 3 : 12 = 15 (total)
Therefore,
A = 5, B = 3 & C = 15 -(5 + 3) = 7
A : B : C
5 : 3 : 7 = 15
Here,
15 R = 5625 (given)
1R = 375
A + B = (5 + 3)R = 8R = 8× 375 = 3000