Practice Questions
Concept Explanation
Final profit-sharing ratio combines capital and time: compare C×T for each partner.
Partner share = (C×T / Sum of all C×T) × Total profit.
Working partner may get salary plus share — deduct salary first if given.
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Q1 Medium
A: Rs. 50k × 9 months, B: Rs. 30k × 12 months. Profit Rs. 9,900. A gets:
ExplanationCT ratio 450:360 = 5:4. A = 9900 × 5/9 = Rs. 5,500. -
Q2 Medium
Capitals Rs. 24k and Rs. 36k, times 8 and 6 months. Profit ratio:
Explanation192k : 216k = 8 : 9. -
Q3 Easy
Total profit Rs. 16,800. Ratio 5:3. Larger share:
Explanation16800 × 5/8 = Rs. 10,500. -
Q4 Hard
A working partner gets Rs. 2,000 salary plus share. Profit Rs. 14,000, ratio 3:2, A is working. A total if A has larger capital share:
ExplanationRemaining 12000 split 3:2 → A share 7200 + 2000 = 9200. -
Q5 Medium
CT products 2:3:5. Profit Rs. 4,500. Middle partner:
Explanation4500 × 3/10 = Rs. 1,350. -
Q6 Easy
A invests Rs. 15k for 4 months, B Rs. 20k for 6 months. Ratio:
Explanation60k : 120k = 1 : 2. -
Q7 Medium
Profit Rs. 5,600. Shares Rs. 2,100 and Rs. 3,500. Capital×time ratio:
Explanation2100:3500 = 3:5.
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Q8 Easy
Equal CT products among 4 partners. Profit Rs. 20,000. Each share:
Explanation20000/4 = Rs. 5,000. -
Q9 Medium
A:B:C = 2:3:4 in profit. C gets Rs. 4,800. Total profit:
Explanation4800 = 4/9 × total → total = Rs. 10,800. -
Q10 Hard
Rs. 18k×5 and Rs. 12k×9. Profit Rs. 6,930. First partner gets:
Explanation90k:108k = 5:6. First = 6930 × 5/11 = Rs. 3,150. -
Q11 Hard
After Rs. 1,500 salary to A, profit Rs. 10,500 split 2:1 (A:B). B gets:
ExplanationRemaining 9000. B = 9000 × 1/3 = Rs. 3,000. -
Q12 Medium
Ratio of profit shares 7:5. Difference Rs. 1,800. Total profit:
Explanation2 parts = 1800 → 1 part = 900. Total 12 parts = Rs. 10,800. -
Q13 Easy
Partner CT values 120, 180, 240. Profit Rs. 9,000. Smallest share:
Explanation9000 × 120/540 = Rs. 2,000. -
Q14 Easy
A and B share profit in ratio 3:4. If total profit is Rs. 5,600, B receives:
ExplanationB gets 5600 × 4/7 = Rs. 3,200.
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DS1 Medium
What is A's profit share?
Statement IA's capital × time is Rs. 2,40,000 and B's is Rs. 1,80,000.
Statement IITotal profit is Rs. 14,000.
ExplanationRatio 4:3. A = 14000 × 4/7 = Rs. 8,000. -
DS2 Easy
What is the profit-sharing ratio?
Statement IA invests Rs. 10,000 for 12 months.
Statement IIB invests Rs. 15,000 for 8 months.
ExplanationBoth CT equal → 1:1.
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DS3 Medium
What is total profit?
Statement IA receives Rs. 4,500 as his share.
Statement IIProfit is divided in ratio 3 : 2 and A has the larger share.
Explanation4500 = 3/5 × total → total = Rs. 7,500. -
DS4 Hard
Does B get more than Rs. 6,000?
Statement ITotal profit Rs. 15,000.
Statement IIA and B share profits in ratio 2 : 3.
ExplanationB gets 9000 > 6000.