A and B invested in a scheme in the ratio 2 : 3. At the end of the year the total profit was Rs 4,500, out of which A first takes Rs 1,500 as the active partner. The remaining profit is shared between them in the ratio of their investments. Find the total amount A receives (in Rs).
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2700
A’s fixed amount as the active partner comes out first; only the rest of the profit is shared in the ratio 2 : 3. A’s total is the fixed amount plus his share.
Profit left to share \(=4500-1500=3000\)
A’s share of it \(\displaystyle =\frac{2}{5}\times3000=1200\)
A’s total \(=1500+1200=2700\)
A receives Rs 2,700 in all.
Why the other options are incorrect
Option (2) 3000 — Incorrect. This is the profit left after A’s Rs 1,500, which is shared between both partners.
Option (3) 1800 — Incorrect. This is \(\frac{2}{5}\) of the whole Rs 4,500, leaving out the active partner’s amount.
Option (4) 2400 — Incorrect. It would need A’s part of the Rs 3,000 to be 900, but his part is \(\frac{2}{5}\times3000=1200\).