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
Correct Answer: 67 : 59 : 42
Solution : Given: A, B and C started a business with initial investments of INR 20,000, INR 25,000, and INR 10,000, respectively.
A | B | C | |
Capital invested | $(20000\times5)+(24000\times 7)$ | $(25000\times4)+(17000\times 8)$ | $(10000\times6)+(18000\times 6)$ |
Total | INR 2,68,000 | INR 2,36,000 | INR 1,68,000 |
The ratio they will share the profits = A : B : C = 268 : 236 : 168 = 67 : 59 : 42
Hence, the correct answer is 67 : 59 : 42.
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