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.
-
Q1 EasyA invests Rs. 10,000 for 12 months and B invests Rs. 15,000 for 8 months. What is their profit-sharing ratio?ExplanationCapital × time: 10000×12 = 120000 and 15000×8 = 120000. Ratio = 1 : 1.
-
Q2 EasyRs. 20,000 is invested for 6 months and Rs. 10,000 for 12 months. What is the profit ratio?ExplanationBoth capital × time products equal 1,20,000. Ratio = 1 : 1.
-
Q3 EasySame capital is invested by A for 8 months and by B for 12 months. Profit ratio A : B is:ExplanationWhen capitals are equal, profit ratio equals time ratio 8 : 12 = 2 : 3.
-
Q4 EasyRs. 8,000 for 9 months versus Rs. 6,000 for 12 months. Profit ratio is:ExplanationBoth products equal 72,000. Ratio = 1 : 1.
-
Q5 EasyA invests for 6 months and B for the whole year with equal capitals. Profit ratio A : B is:ExplanationTime ratio = 6 : 12 = 1 : 2.
-
Q6 EasyRs. 9,000 for 10 months versus Rs. 15,000 for 6 months. Profit ratio is:ExplanationBoth products equal 90,000. Ratio = 1 : 1.
-
Q7 MediumA, B and C enter into a partnership. A invests Rs. 4000 for the whole year, B invests Rs. 6000 for 6 months and C invests Rs. 8000 for 4 months. Out of a total profit of Rs. 5800, C's share is:ExplanationA:B:C = 4000×12 : 6000×6 : 8000×4 = 48:36:32 = 12:9:8. C's share = 5800 × 8/29 = Rs. 1600.
-
Q8 MediumA invests Rs. 12,000 for 10 months and B invests Rs. 8,000 for 15 months. The profit ratio A : B is:Explanation12000×10 = 8000×15 = 1,20,000. Ratio = 1 : 1.
-
Q9 MediumCapital of Rs. 5,000 for 8 months and Rs. 6,000 for 10 months. What is the ratio of their shares?Explanation40000 : 60000 = 2 : 3.
-
Q10 MediumCT products are 50,000 and 75,000. Total profit is Rs. 5,000. What does the second partner get?ExplanationSecond partner = 5000 × 75/125 = Rs. 3,000.
-
Q11 MediumRs. 16,000 for 3 months versus Rs. 12,000 for 4 months. Ratio is:ExplanationBoth products equal 48,000. Ratio = 1 : 1.
-
Q12 HardA starts a business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?ExplanationA's capital × time = 3500 × 12. B invests for 7 months. Ratio 2 : 3 → (3500 × 12)/(7x) = 2/3 → x = Rs. 9000.
-
Q13 HardA and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. After 6 months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?ExplanationA:B:C = 20000×24 : 15000×24 : 20000×18 = 16:12:12 = 4:3:3. B's share = 25000 × 3/10 = Rs. 7500.
-
Q14 HardThree partners have CT products 10k×12, 15k×8 and 5k×24. Profit is Rs. 9,000. Each gets:ExplanationAll three CT products are equal, so each gets Rs. 3,000.
-
DS1 Easy
In a partnership audit, what is the profit-sharing ratio?
Statement IA invests Rs. 20,000 for 6 months.
Statement IIB invests Rs. 10,000 for 12 months.
ExplanationTogether: both CT products = 1,20,000 → ratio 1 : 1. -
DS2 Medium
What is A's profit share?
Statement IA's capital × time product is 80,000 and B's is 60,000.
Statement IITotal profit is Rs. 14,000.
ExplanationTogether: ratio 4 : 3. A gets 14000 × 4/7 = Rs. 8,000.
-
DS3 Medium
Is the profit shared equally between the partners?
Statement IBoth partners have equal capital × time products.
Statement IITotal profit is Rs. 8,400.
ExplanationStatement I alone is sufficient: equal CT means equal shares. -
DS4 Hard
Who has the larger capital × time product?
Statement IA invests Rs. 12,000 for 8 months.
Statement IIB invests Rs. 9,000 for 11 months.
ExplanationTogether: A = 96,000 and B = 99,000, so B is larger.