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B starts some business by investing Rs 90000. After 4 months, D joins business by investing Rs 80000. At the end of the year, in what ratio will they share the profit?
  • a)
    10 : 7
  • b)
    9 : 4
  • c)
    27 : 16
  • d)
    7 : 3
Correct answer is option 'C'. Can you explain this answer?
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B starts some business by investing Rs 90000. After 4 months, D joins...
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B starts some business by investing Rs 90000. After 4 months, D joins...
Given:
- B starts the business with an investment of Rs 90000.
- After 4 months, D joins the business with an investment of Rs 80000.
- The duration of the business is 1 year.

To find:
The ratio in which B and D will share the profit at the end of the year.

Solution:

Step 1: Calculate the profit sharing ratio based on the investments.
- B invests Rs 90000 for the entire year.
- D invests Rs 80000 for 8 months (12 - 4).

The profit sharing ratio based on the investments can be calculated by multiplying the investment amount with the duration.
- B's profit sharing ratio = 90000 * 12 = 1080000
- D's profit sharing ratio = 80000 * 8 = 640000

Step 2: Calculate the total profit.
The total profit can be calculated by subtracting the total investments from the total amount.
- Total amount = B's investment + D's investment
= 90000 * 12 + 80000 * 8
= 1080000 + 640000
= 1720000

Step 3: Calculate the profit sharing ratio.
The profit sharing ratio can be calculated by dividing the profit sharing ratios of B and D by the total profit.
- B's profit sharing ratio = 1080000 / 1720000 = 27/43
- D's profit sharing ratio = 640000 / 1720000 = 16/43

Therefore, the ratio in which B and D will share the profit at the end of the year is 27:16, which is option C.
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B starts some business by investing Rs 90000. After 4 months, D joins business by investing Rs 80000. At the end of the year, in what ratio will they share the profit?a)10 : 7b)9 : 4c)27 : 16d)7 : 3Correct answer is option 'C'. Can you explain this answer?
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