Sharing money in compound ratio – UGC NET Question

The ratio 2:3:5 has a total of 2 + 3 + 5 = 10 equal parts. B’s share is 3 of these 10 parts. Therefore B receives (3/10) × ₹6600 = ₹1980. This calculation uses the standard method of dividing a sum in a given ratio, and the figure ₹1980 uniquely matches the portion associated with B’s 3 parts.

Option A:
Option A is correct because it follows directly from the fraction 3/10 applied to the total amount. Checking the other shares, A would receive (2/10) × 6600 = ₹1320 and C would get (5/10) × 6600 = ₹3300, and the three results add up to the original ₹6600. This confirms that ₹1980 is the precise share for B.

Option B:
Option B, ₹1320, corresponds to the share for A, which has only 2 parts in the ratio 2:3:5. It underestimates B’s share, since B’s part count is higher than A’s. Accepting ₹1320 for B would contradict the given ratio because B must receive more than A.

Option C:
Option C, ₹2640, would equal 4 of the 10 parts if we imagined such a division, but no person in the ratio 2:3:5 has exactly 4 parts. Using this value would require altering the original ratio and would no longer reflect 2:3:5. Hence, ₹2640 cannot be B’s share.

Option D:
Option D, ₹3300, is equal to half the total amount and actually matches the share for C, who has 5 parts in the ratio. Assigning this to B would flip the intended hierarchy of the shares and make B’s entitlement much larger than specified. Therefore, ₹3300 is not B’s correct portion.