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 EasyTotal profit is Rs. 16,800 and is shared in the ratio 5 : 3. What is the larger share?ExplanationLarger share = 16800 × 5/8 = Rs. 10,500.
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Q2 EasyA invests Rs. 15,000 for 4 months and B invests Rs. 20,000 for 6 months. What is their profit ratio?Explanation60000 : 120000 = 1 : 2.
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Q3 EasyPartner CT values are 120, 180 and 240. Profit is Rs. 9,000. What is the smallest share?ExplanationSmallest = 9000 × 120/540 = Rs. 2,000.
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Q4 EasyA and B share profit in the ratio 3 : 4. If total profit is Rs. 5,600, how much does B receive?ExplanationB gets 5600 × 4/7 = Rs. 3,200.
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Q5 EasyEqual CT products among 4 partners. Profit is Rs. 20,000. Each partner's share is:ExplanationEach gets 20000/4 = Rs. 5,000.
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Q6 MediumA, B and C invested capitals in the ratio 2 : 3 : 5. The ratio of time for which they invested is 3 : 2 : 1. The ratio of their profits is:ExplanationProfit ratio = (2×3):(3×2):(5×1) = 6:6:5.
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Q7 MediumCT products are in the ratio 2 : 3 : 5. Profit is Rs. 4,500. What does the middle partner get?ExplanationMiddle partner = 4500 × 3/10 = Rs. 1,350.
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Q8 MediumProfit shares are Rs. 2,100 and Rs. 3,500. What is the capital × time ratio?Explanation2100 : 3500 = 3 : 5.
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Q9 MediumA : B : C = 2 : 3 : 4 in profit. If C gets Rs. 4,800, what is the total profit?Explanation4800 = 4/9 × total → total = Rs. 10,800.
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Q10 MediumProfit shares are in the ratio 7 : 5 and the difference is Rs. 1,800. What is the total profit?Explanation2 parts = 1800 → 1 part = 900. Total 12 parts = Rs. 10,800.
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Q11 HardA, B and C enter into a partnership in the ratio 1/2 : 1/3 : 1/6. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21,000, then B's share in the profit is:ExplanationInitial capital ratio = 3 : 2 : 1. A's CT = 3×4 + 4.5×8 = 48; B = 2×12 = 24; C = 1×12 = 12. Ratio = 4 : 2 : 1. B's share = 21000 × 2/7 = Rs. 6,000.
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Q12 HardA and B started a business with investments of Rs. 8000 and Rs. 10000 respectively. After 4 months, A withdrew 50% of his capital and B withdrew 40% of his capital. At the end of the year, they earned a profit of Rs. 18800. What is A's share?ExplanationA's CT = 8000×4 + 4000×8 = 64000. B's CT = 10000×4 + 6000×8 = 88000. Ratio = 8 : 11. A's share = 18800 × 8/19 = Rs. 8000.
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Q13 HardIn a business, A and C invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by A and B was 3 : 2. If Rs. 1,56,000 was their profit, how much amount did B receive?ExplanationA:B = 3:2 and A:C = 2:1 → A:B:C = 6:4:3. B's share = 156000 × 4/13 = Rs. 48,000.
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Q14 HardAfter paying Rs. 1,500 salary to A, remaining profit Rs. 9,000 is split 2 : 1 (A:B). What does B get?ExplanationB gets 9000 × 1/3 = Rs. 3,000.
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DS1 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.
ExplanationTogether: both CT equal → ratio 1 : 1. -
DS2 Medium
In a year-end profit review, 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.
ExplanationTogether: ratio 4 : 3. A gets 14000 × 4/7 = Rs. 8,000.
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DS3 Medium
What is the total profit?
Statement IA receives Rs. 4,500 as his share.
Statement IIProfit is divided in the ratio 3 : 2 and A has the larger share.
ExplanationTogether: 4500 = 3/5 × total → total = Rs. 7,500. Both statements are needed. -
DS4 Hard
Does B get more than Rs. 6,000?
Statement ITotal profit is Rs. 15,000.
Statement IIA and B share profits in the ratio 2 : 3.
ExplanationTogether: B gets 9000, which is more than Rs. 6,000.