Question : A, B, and C started a business with an investment of INR 1,00,000, INR 1,40,000 and INR 2,00,000 respectively. After 3 months, C left the business. 7 months after C left the business, B also left the business. B and C took their investments with them. At the end of the year, C received his share of the profit as INR 1,155. What is the total share of profits of A and B?
Option 1: INR 6,150
Option 2: INR 5,005
Option 3: INR 4,995
Option 4: INR 5,555
Correct Answer: INR 5,005
Solution : Given:
| A | B | C | |
| $100000\times 12$ | $140000\times 10$ | $200000\times 3$ | |
| Total | 12,00,000 | 14,00,000 | 6,00,000 |
The ratio is given as $A:B: C=6:7:3$.
Let the profit of C be INR $x$.
According to the question,
$3x=1155$
⇒ $x=$ INR 385
The total share of profits of A and B $=(6+7)\times x=13\times 385=$ INR 5,005.
Hence, the correct answer is INR 5,005.
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