Raju started a business with Rs. 900. Kamal joined him after few months with an amount of 600. If the profits at the end of the year were divided in the ratio of 2:1, after how many months Kamal joined the business?
| Question | Raju started a business with Rs. 900. Kamal joined him after few months with an amount of 600. If the profits at the end of the year were divided in the ratio of 2:1, after how many months Kamal joined the business? | |
| Type | multiple_choice | |
| Option | 9 months | incorrect |
| Option | 3 months | correct |
| Option | 8 months | incorrect |
| Option | 5 months | incorrect |
| Solution | The capital of Raju (C1) =900 And the capital of Kamal is (C2) = 600 Time period spend by Raju (T1) = 12 months Let the time period spend by Kamal (T2) = x months The ratio of their profit (p1:p2) is 2: 1 Apply the formula: (C1 * T1)/ (C2 * T2) = p1/p2 (900 * 12)/ (600*x) = (2/1) 10800/600 = 2* x x= 18/2 x= 9 months, i.e., Kamal spend 9 months. So, Kamal joined after, 12 – 9= 3 months. | |