InterviewSolution
| 1. |
A and B together started a business with an investment of Rs. 12,000 and Rs. 8,000 respectively. Ratio of profit at the end of the year was 5 ∶ 6, If A invested for 5 months then for how many months B invested?1. 6 months2. 8 months3. 9 months4. 7 months |
|
Answer» Correct Answer - Option 3 : 9 months Given: Investment of A = 12000 for 5 months Investment of B = 8000 Ratio of profit at the end of the year = 5 ∶ 6 Concept used: Ratio of product of time and investment = Ratio of profit If X1, X2,X3 … is the ratio of investment and P1, P2,P3 … is the ratio of profits then the ratio of time periods of investment is calculated as P1/X1∶ P2/X2∶ P3/X3 … Calculation: Let ratio of time period be 5 ∶ t (Assume, B invested for t months) Ratio of investment = 12000 ∶ 8000 = 3 ∶ 2 Ratio of product of time and investment = 3 × 5 ∶ 2t = 15 ∶ 2t Ratio of product of time and investment = Ratio of profit Ratio of profit = 15 ∶ 2t = 5 ∶ 6 (Given) ⇒ 15/2t = 5/6 ⇒ t = (15 × 6)/10 = 90/10 = 9 ∴ B invested for 9 months. |
|