A, B and C enter into a partnership, investing Rs 30,000, Rs 40,000 and Rs 50,000 respectively. Their shares in an annual profit of Rs 36,000 are respectively:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Rs 9,000, Rs 12,000, Rs 15,000
The money is invested for the same period, so the profit is shared in the ratio of the investments.
A : B : C \(=30000:40000:50000=3:4:5\), total 12 parts
1 part \(\displaystyle =\frac{36000}{12}=3000\)
A \(=3\times3000=\) Rs 9,000; B \(=4\times3000=\) Rs 12,000; C \(=5\times3000=\) Rs 15,000
The shares are Rs 9,000, Rs 12,000 and Rs 15,000.
Why the other options are incorrect
Option (1) Rs 7,000, Rs 10,000, Rs 15,000 — Incorrect. These add up to Rs 32,000, not Rs 36,000.
Option (2) Rs 7,000, Rs 9,000, Rs 11,000 — Incorrect. These add up to only Rs 27,000.
Option (3) Rs 5,000, Rs 7,000, Rs 8,000 — Incorrect. These add up to only Rs 20,000.