Asha, Bimal and Charu invested Rs 9,000, Rs 12,000 and Rs 15,000 for 5 years, 3 years and 4 years respectively. Find the ratio Asha : Bimal : Charu of their profits at the end.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 15 : 12 : 20
Profit is shared in the ratio of capital × time for each partner.
Asha: \(9000\times5=45000\)
Bimal: \(12000\times3=36000\)
Charu: \(15000\times4=60000\)
Dividing by the common factor, the ratio is 15 : 12 : 20.
Why the other options are incorrect
Option (1) 5 : 3 : 4 — Incorrect. This is the ratio of the times only; the capitals must also be counted.
Option (3) 15 : 20 : 12 — Incorrect. This swaps the shares of Bimal and Charu; the products 45,000 : 36,000 : 60,000 give 15 : 12 : 20.
Option (4) 3 : 4 : 5 — Incorrect. This is the ratio of the capitals only; the time each amount stayed must also be counted.