Practice Questions
Concept Explanation
When partners invest for different periods, compare capital × time products.
Profit ratio = C₁T₁ : C₂T₂ : C₃T₃.
Example: Rs. 10k for 12 months vs Rs. 15k for 8 months → 120 : 120 → equal shares.
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Q1 Easy
A: Rs. 10,000 for 12 months. B: Rs. 15,000 for 8 months. Profit ratio:
Explanation10000×12 = 120000; 15000×8 = 120000. -
Q2 Easy
Rs. 20,000 for 6 months vs Rs. 10,000 for 12 months. Ratio:
ExplanationBoth products = 120,000. -
Q3 Medium
A invests Rs. 12k for 10 months, B Rs. 8k for 15 months. Ratio A:B:
Explanation120k each. -
Q4 Medium
Capital Rs. 5k for 8 months, Rs. 6k for 10 months. Ratio:
Explanation40000 : 60000 = 2 : 3. -
Q5 Hard
Profit Rs. 7,700 split. A: 14k×6, B: 11k×7. A's share:
ExplanationA=84000, B=77000. A = 7700×84/161 = Rs. 4,200. -
Q6 Easy
Rs. 8,000 for 9 months vs Rs. 6,000 for 12 months. Ratio:
Explanation72000 each. -
Q7 Easy
A: Rs. 25k × 4 months. B: Rs. 20k × 5 months. Ratio:
Explanation100k each.
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Q8 Medium
C₁T₁ = 50,000 and C₂T₂ = 75,000. Profit Rs. 5,000. Second partner gets:
Explanation5000 × 75/125 = Rs. 3,000. -
Q9 Easy
Same capital, A for 8 months, B for 12 months. Profit ratio:
ExplanationTime ratio = profit ratio when capital equal. -
Q10 Medium
Rs. 16k for 3 months vs Rs. 12k for 4 months. Ratio:
Explanation48000 each. -
Q11 Easy
A invests for 6 months, B for whole year. Capitals equal. Profit ratio A:B:
ExplanationHalf the time → half the share. -
Q12 Medium
Rs. 30k × 5 months and Rs. 25k × 6 months. Ratio:
Explanation150k each. -
Q13 Hard
Three partners: 10k×12, 15k×8, 5k×24. All CT products equal. Profit Rs. 9,000 each gets:
ExplanationEqual CT → Rs. 3,000 each. -
Q14 Easy
Rs. 9k for 10 months vs Rs. 15k for 6 months. Ratio:
Explanation90000 each.
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DS1 Easy
What is the profit-sharing ratio?
Statement IA invests Rs. 20,000 for 6 months.
Statement IIB invests Rs. 10,000 for 12 months.
ExplanationBoth CT = 120,000 → 1:1. -
DS2 Medium
What is A's profit share?
Statement IA's capital × time = 80,000.
Statement IITotal profit is Rs. 11,000 and ratio A:B = 4:3.
ExplanationA gets 4/7 × 11000 = Rs. 6,285.71.
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DS3 Hard
Who has larger capital × time product?
Statement IA: Rs. 12k for 8 months.
Statement IIB: Rs. 9k for 11 months.
ExplanationA=96k, B=99k → B larger. -
DS4 Medium
Is profit shared equally?
Statement IBoth partners have equal capital × time.
Statement IITotal profit is Rs. 8,400.
ExplanationEqual CT → equal shares.