Practice Questions
Concept Explanation
In a partnership, profit is shared in the ratio of capital invested when time period is the same.
If A invests Rs. x and B invests Rs. y, profit ratio = x : y.
Capital share = Partner capital / Total capital × Profit.
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Q1 EasyA invests Rs. 40,000 and B invests Rs. 60,000 in a partnership. What is the ratio of their profits if they invest for the same period?ExplanationProfit ratio = capital ratio = 40000 : 60000 = 2 : 3.
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Q2 EasyTotal profit is Rs. 15,000. Capitals are Rs. 50,000 and Rs. 25,000 for the same period. What is the larger partner's share?ExplanationLarger share = 15000 × 50/75 = Rs. 10,000.
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Q3 EasyA puts in Rs. 12,000 and B puts in Rs. 18,000. Yearly profit is Rs. 7,500. How much does B get?ExplanationB = 7500 × 18/30 = Rs. 4,500.
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Q4 EasyA invests double of what B invests. Profit is Rs. 9,000. How much does A receive?ExplanationRatio 2 : 1. A receives Rs. 6,000.
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Q5 MediumA, B and C enter into a partnership. A invests Rs. 4,000 for the whole year, B invests Rs. 6,000 for 6 months and C invests Rs. 8,000 for 4 months. Out of a total profit of Rs. 5,800, C's share is:ExplanationCapital × time: A:B:C = 4000×12 : 6000×6 : 8000×4 = 48:36:32 = 12:9:8. C's share = 5800 × 8/29 = Rs. 1,600.
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Q6 MediumThree partners invest Rs. 20,000, Rs. 30,000 and Rs. 50,000. Profit is Rs. 4,000. What is the smallest share?ExplanationRatio 2 : 3 : 5. Smallest = 4000 × 2/10 = Rs. 800.
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Q7 MediumCapitals are in the ratio 5 : 7 : 8. Total profit is Rs. 20,000. What does the middle partner get?ExplanationMiddle partner = 20000 × 7/20 = Rs. 7,000.
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Q8 MediumRs. 80,000 and Rs. 1,20,000 are invested. Loss is Rs. 5,000. How much loss does the larger investor bear?ExplanationRatio 2 : 3. Larger investor bears 5000 × 3/5 = Rs. 3,000.
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Q9 MediumCapital ratio A : B = 3 : 4. If B's profit is Rs. 2,400, what is the total profit?ExplanationB gets 4/7 of total. Total = 2400 × 7/4 = Rs. 4,200.
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Q10 MediumInvestments are Rs. 8,000, Rs. 12,000 and Rs. 20,000. Profit is Rs. 6,000. What is the largest share?ExplanationRatio 2 : 3 : 5. Largest = 6000 × 5/10 = Rs. 3,000.
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Q11 HardA and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:ExplanationRemaining profit = 95%. A gets 3/5 of 95% = 57% of total. 0.57 × P = 855 → P = Rs. 1500.
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Q12 HardA, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4,000 more than B and B Rs. 5,000 more than C. Out of a total profit of Rs. 35,000, A receives:ExplanationLet C = x, B = x+5000, A = x+9000. Sum = 3x+14000 = 50000 → x = 12000. A:B:C = 21000:17000:12000. A = 35000 × 21/50 = Rs. 14,700.
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Q13 HardThree partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?ExplanationInvestment × time ∝ profit. I₁×14 : I₂×8 : I₃×7 = 5:7:8 → I₁:I₂:I₃ = 5/14 : 7/8 : 8/7 = 20:49:64 after clearing denominators.
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Q14 HardIf A's capital is 25% more than B's, the profit ratio A : B is:ExplanationA = 1.25B → A : B = 5 : 4.
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DS1 Easy
In a business partnership review, what is A's profit share?
Statement IA invests Rs. 60,000 and B invests Rs. 40,000 for the same period.
Statement IITotal profit is Rs. 12,500.
ExplanationTogether: A share = 12500 × 6/10 = Rs. 7,500. -
DS2 Easy
What is the capital ratio of the two partners?
Statement IA invests Rs. 24,000.
Statement IIB invests Rs. 36,000.
ExplanationTogether: ratio = 24 : 36 = 2 : 3.
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DS3 Medium
What is the total profit of the firm?
Statement IThe two partners have equal capitals and invest for the same time.
Statement IIEach partner gets Rs. 4,500 as profit share.
ExplanationStatement II with equal shares: total = Rs. 9,000. -
DS4 Hard
Does A receive more than Rs. 5,000 as profit?
Statement ITotal profit Rs. 14,000 is split in the ratio 4 : 3.
Statement IIA has the larger capital share.
ExplanationTogether: A gets 8000, which is more than Rs. 5,000.