Ramesh and Suresh enter into a partnership with capitals in the ratio of 10:12. At the end of 8 months, Ramesh withdraws. If they receive profits in the ratio of 10:18. Find how long Suresh’s capital was used.
| Question | Ramesh and Suresh enter into a partnership with capitals in the ratio of 10:12. At the end of 8 months, Ramesh withdraws. If they receive profits in the ratio of 10:18. Find how long Suresh’s capital was used. | |
| Type | multiple_choice | |
| Option | 7 months | incorrect |
| Option | 8 months | incorrect |
| Option | 10 months | incorrect |
| Option | 12 months | correct |
| Solution | Let the capital of Ramesh (C1) =10 And the capital of Suresh is (C2) = 12 Time period spend by Ramesh (T1) = 8 months Let, time period spend by Suresh (T2) = x months The ratio of their profit (p1:p2) is 10: 18 Apply formula: (C1 * T1)/ (C2 * T2) = p1/p2 (10 * 8)/ (12*x) = (10/18) (80/12x) = (5/9) 20/3x = 5/9 180 = 15x Hence, x=12 months | |