Practicing Success
A, B and C started a business each investing ₹20000. After 5 months 'A' withdrew ₹5000, N withdrew ₹4000 and C invested ₹6000 more. At the end of the year a total profit of ₹69900 was recorded. Find the share (in ₹) of A, B and C respectively in the profit. |
20500, 21200, 22800 20400, 28200, 21300 20500, 21200, 28200 21200, 20300, 28400 |
20500, 21200, 28200 |
We have, A investing Rs. 20000 for 5 months and 15000 for 7 months B investing Rs. 20000 for 5 months and 16000 for 7 months C investing Rs. 20000 for 5 months and 26000 for 7 months The total profit is 69900. The ratio of profit will be the same as the ratio of the investment made. The ratio of the capitals of A, B, and C = 20000×5+15000×7: 20000×5+16000×7: 20000×5+26000×7 = 205000: 212000: 282000 = 205: 212: 282 The Total profit is 69900 A's share = 205/699 × 69900 = 20500 B's share = 212/699 × 69900 = 21200 C's share = 282/699 × 69900 = 28200 |