A and B enter into investing Rs. 30,000 and Rs. 24,000 respectively. After 3 months, A invests Rs. 6,000 more while B withdraws Rs. 6,000. After another 3 months, B withdraws Rs. 3,000 more and C enters the business with an investment of Rs.21,000. What is C's share in the annual profit of Rs. 84,000? Ops: A. Rs. 28,000 B. Rs. 18,000 C. Rs. 14,000 D. Rs. 21,000
Question
A and B enter into investing Rs. 30,000 and Rs. 24,000 respectively. After 3 months, A invests Rs. 6,000 more while B withdraws Rs. 6,000. After another 3 months, B withdraws Rs. 3,000 more and C enters the business with an investment of Rs.21,000. What is C's share in the annual profit of Rs. 84,000? Ops: A. Rs. 28,000 B. Rs. 18,000 C. Rs. 14,000 D. Rs. 21,000
Solution
To solve this problem, we first need to calculate the ratio of the investments of A, B, and C.
- For the first 3 months, A invested Rs. 30,000 and B invested Rs. 24,000.
- For the next 3 months, A added Rs. 6,000 to his investment making it Rs. 36,000 and B withdrew Rs. 6,000 making his investment Rs. 18,000.
- For the last 6 months, A continued with Rs. 36,000, B withdrew another Rs. 3,000 making his investment Rs. 15,000 and C entered the business with Rs. 21,000.
The ratio of their investments is calculated by multiplying the investment amounts by the time period they were invested for:
- A's investment ratio = (300003 + 360009) = 90,000 + 324,000 = 414,000
- B's investment ratio = (240003 + 180003 + 15000*6) = 72,000 + 54,000 + 90,000 = 216,000
- C's investment ratio = (21000*6) = 126,000
So, the ratio of A:B:C = 414,000:216,000:126,000 = 69:36:21
The total profit is Rs. 84,000. To find C's share, we divide C's ratio by the total ratio and multiply by the total profit:
C's share = (21/(69+36+21)) * 84,000 = Rs. 14,000
So, the answer is C. Rs. 14,000.
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