Question : Ramesh started a business investing a sum of INR 40,000. Six months later, Kevin joined by investing INR 20,000. If they make a profit of INR 10,000 at the end of the year, how much is the share of Kevin?
Option 1: INR 2,000
Option 2: INR 4,000
Option 3: INR 3,000
Option 4: INR 2,500
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Correct Answer: INR 2,000
Solution : Ramesh's investment = INR 40000 Ramesh's period of investment = 12 months Kevin's investment = INR 20000 Kevin's period of investment = 6 months Total profit at the end of the year = INR 10000 We know that, Profit = capital invested × time Ratio of their profit = (40000 × 12) ∶ (20000 × 6) = 480000 ∶ 120000 = 4 ∶ 1 Ramesh's profit = $4x$ Kevin's profit = $x$ Total profit = $4x + x$ ⇒ $5x = 10000$ ⇒ $x = 2000$ Hence, the correct answer is INR 2,000.
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Question : Nihit started a business with INR 700. After 5 months Amit and Patel joined him with INR 300 and INR 400 respectively. At the end of the year, the business made a profit of INR 627. Find the share of Patel in the profit.
Option 1: INR 127
Option 2: INR 145
Option 3: INR 132
Option 4: INR 156
Question : A, B, and C started a business with initial investments of INR 20,000, INR 25,000, and INR 10,000, respectively. After 5 months from the start, A invested INR 4000 more. After 6 months from the start, C invested INR 8000 more. After 4 months from the start, B withdrew INR 8,000. At the end of the year, they will receive a profit of INR $x$. In what ratio they will share the profits?
Option 1: 71 : 57 : 42
Option 2: 71 : 59 : 42
Option 3: 59 : 68 : 42
Option 4: 67 : 59 : 42
Question : P and Q start a shop with a capital of INR 1,50,000 and 4,50,000, respectively. After a year, out of the profit of INR 2,00,000, P gets his share of the profit plus some money as his salary which is not a part of the profit. If P gets a total of INR 90,000, what is the amount of salary (in INR ) that he received?
Option 1: 20,000
Option 2: 25,000
Option 3: 50,000
Option 4: 40,000
Question : A, B, and C started a business with an investment of INR 1,00,000, INR 1,40,000 and INR 2,00,000 respectively. After 3 months, C left the business. 7 months after C left the business, B also left the business. B and C took their investments with them. At the end of the year, C received his share of the profit as INR 1,155. What is the total share of profits of A and B?
Option 1: INR 6,150
Option 2: INR 5,005
Option 3: INR 4,995
Option 4: INR 5,555
Question : A sum of INR 1,250 has to be distributed among A, B, C, and D. The Total share of B and D is equal to $\frac{14}{11}$ of the total share of A and C. The share of D is half of the share of A. The share of C is 1.2 of the share of A. What are the shares of A, B, C and D respectively?
Option 1: INR 250, INR 575, INR 300, INR 125
Option 2: INR 350, INR 525, INR 300, INR 125
Option 3: INR 250, INR 525, INR 300, INR 125
Option 4: INR 250, INR 575, INR 300, INR 175
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