Partners A and B invest in a business with capitals in the ratio 7:9. After 8 months, A withdraws his investment. Given that the profit is shared in the ratio 8:9, determine the duration for which B’s capital was invested.
Explanation
Let the time B's capital was invested be x months. The profit ratio is determined by capital multiplied by time: 7 * 8 : 9 * x = 8 : 9. Solving for x gives x = 7 months.