A sum of ₹1250 is divided among A, B and C such that A gets \(\frac{2}{9}\) of B's share and C gets \(\frac{3}{4}\) of A's share. Find the shares of A, B and C (in ₹).
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 200, 900, 150
Write all three shares in terms of one unknown, then use the total of ₹1250 to find it.
Assuming B’s share to be \(9k\):
A gets \(\frac{2}{9}\) of B’s share: \(\frac{2}{9}\times9k=2k\)
C gets \(\frac{3}{4}\) of A’s share: \(\frac{3}{4}\times2k=1.5k\)
Total: \(2k+9k+1.5k=12.5k=1250\), so \(k=100\)
A = ₹200, B = ₹900, C = ₹150