Question:
Three persons A, B and C started a partnership business by investing Rs.3 lakhs, Rs.5 lakhs and Rs.12 lakhs respectively. At the end of the year the profit of B was Rs.4 lakhs. The total profit (in lakhs of rupees) is
Three persons A, B and C started a partnership business by investing Rs.3 lakhs, Rs.5 lakhs and Rs.12 lakhs respectively. At the end of the year the profit of B was Rs.4 lakhs. The total profit (in lakhs of rupees) is
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In partnership problems with same time period, profit ratio is directly equal to investment ratio.
Updated On: Jul 15, 2026
- \(25\)
- \(20\)
- \(18\)
- \(16\)
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The Correct Option is D
Solution and Explanation
Concept:
In partnership, profit is divided in the ratio of investments (if time is same).
Step 1: Find the investment ratio.
Investments: \[ 3:5:12 \] Total ratio: \[ 3+5+12=20 \]
Step 2: Use B’s profit share.
B’s share corresponds to: \[ 5 \] Given B’s profit: \[ 4 \text{ lakhs} \] So: \[ 5 \text{ parts }=4 \] Therefore: \[ 1 \text{ part }=\frac45 \]
Step 3: Find total profit.
Total parts: \[ 20 \] So total profit: \[ 20\times \frac45 \] \[ =16 \] Thus, the total profit is: \[ \boxed{16 \text{ lakhs}} \]
Step 1: Find the investment ratio.
Investments: \[ 3:5:12 \] Total ratio: \[ 3+5+12=20 \]
Step 2: Use B’s profit share.
B’s share corresponds to: \[ 5 \] Given B’s profit: \[ 4 \text{ lakhs} \] So: \[ 5 \text{ parts }=4 \] Therefore: \[ 1 \text{ part }=\frac45 \]
Step 3: Find total profit.
Total parts: \[ 20 \] So total profit: \[ 20\times \frac45 \] \[ =16 \] Thus, the total profit is: \[ \boxed{16 \text{ lakhs}} \]
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