Two teams named A and B do business together and their shares are in the ratio of 2 : 1. Team A has got three members A1, A2 and A3 whose shares are in the ratio of 1 : 2 : 3. Team B has got four members B1, B2, B3 and B4 whose shares are in the ratio of 1 : 2 : 3 : 4. If the actual share of B3 is ₹ 2,25,000, then what is the actual share of A2 ?
₹ 5,00,000
₹ 4,00,000
₹ 2,00,000
₹ 1,00,000
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CISF-AC-EXE – 2020
– Team A’s share (2k) is divided among A1, A2, A3 in the ratio 1:2:3. The total parts in this ratio are 1+2+3=6.
– A2’s share within Team A is (2/6) of Team A’s total share = (1/3) * 2k.
– Team B’s share (k) is divided among B1, B2, B3, B4 in the ratio 1:2:3:4. The total parts in this ratio are 1+2+3+4=10.
– B3’s share within Team B is (3/10) of Team B’s total share = (3/10) * k.
– We are given that the actual share of B3 is ₹ 2,25,000.
– So, (3/10) * k = 2,25,000.
– From this, we can find k: k = (2,25,000 * 10) / 3 = 2,250,000 / 3 = 7,50,000.
– Team B’s total share is ₹ 7,50,000. Team A’s total share is 2k = 2 * 7,50,000 = ₹ 15,00,000.
– Now we find A2’s share, which is (1/3) of Team A’s share.
– A2’s share = (1/3) * 15,00,000 = 5,00,000.