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Two persons A and B invested in a business with capital 5000 and 6000 respectively. After 3 months both A and B invests 5000 more. After 3 more months C joins the business with a capital of 10000 rupees. The share of B exceeds C by how much, if the total profit earned is 47000.
- a)8500
- b)6500
- c)9500
- d)7500
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two persons A and B invested in a business with capital 5000 and 6000 ...
Answer – 3.9500 Explanation : A B C
5000 6000
After 3 months) 10000 11000 After 6 months) 10000 Ratio in which profit is distributed – 35:39:20 B exceed C by (19/94)*47000 = 9500
5000 6000
After 3 months) 10000 11000 After 6 months) 10000 Ratio in which profit is distributed – 35:39:20 B exceed C by (19/94)*47000 = 9500
Most Upvoted Answer
Two persons A and B invested in a business with capital 5000 and 6000 ...
Given information:
- Person A invests 5000 rupees initially.
- Person B invests 6000 rupees initially.
- After 3 months, both A and B invest an additional 5000 rupees each.
- After 3 more months, person C joins the business with a capital of 10000 rupees.
- The total profit earned is 47000 rupees.
To find: The share of B exceeds C by how much.
Calculation:
1. Initial investment:
- Person A's initial investment = 5000 rupees
- Person B's initial investment = 6000 rupees
- Total initial investment = 5000 + 6000 = 11000 rupees
2. Additional investment after 3 months:
- Person A's additional investment = 5000 rupees
- Person B's additional investment = 5000 rupees
- Total investment after 3 months = 11000 + 5000 + 5000 = 21000 rupees
3. Person C's investment after joining:
- Person C's investment = 10000 rupees
4. Total investment after C joins:
- Total investment = 21000 + 10000 = 31000 rupees
5. Profit distribution:
- Person A's share = (Initial investment / Total investment) * Total profit
= (11000 / 31000) * 47000
- Person B's share = (Initial investment / Total investment) * Total profit
= (11000 / 31000) * 47000
- Person C's share = (C's investment / Total investment) * Total profit
= (10000 / 31000) * 47000
6. Difference between B's share and C's share:
- Difference = Person B's share - Person C's share
= [(11000 / 31000) * 47000] - [(10000 / 31000) * 47000]
= (11000 * 47000 - 10000 * 47000) / 31000
= 47000 * (11000 - 10000) / 31000
= 47000 * 1000 / 31000
= 4700 * 10 / 31
≈ 1516.13 rupees
Therefore, the share of B exceeds C by approximately 1516.13 rupees.
The correct option is (e) None of these.
- Person A invests 5000 rupees initially.
- Person B invests 6000 rupees initially.
- After 3 months, both A and B invest an additional 5000 rupees each.
- After 3 more months, person C joins the business with a capital of 10000 rupees.
- The total profit earned is 47000 rupees.
To find: The share of B exceeds C by how much.
Calculation:
1. Initial investment:
- Person A's initial investment = 5000 rupees
- Person B's initial investment = 6000 rupees
- Total initial investment = 5000 + 6000 = 11000 rupees
2. Additional investment after 3 months:
- Person A's additional investment = 5000 rupees
- Person B's additional investment = 5000 rupees
- Total investment after 3 months = 11000 + 5000 + 5000 = 21000 rupees
3. Person C's investment after joining:
- Person C's investment = 10000 rupees
4. Total investment after C joins:
- Total investment = 21000 + 10000 = 31000 rupees
5. Profit distribution:
- Person A's share = (Initial investment / Total investment) * Total profit
= (11000 / 31000) * 47000
- Person B's share = (Initial investment / Total investment) * Total profit
= (11000 / 31000) * 47000
- Person C's share = (C's investment / Total investment) * Total profit
= (10000 / 31000) * 47000
6. Difference between B's share and C's share:
- Difference = Person B's share - Person C's share
= [(11000 / 31000) * 47000] - [(10000 / 31000) * 47000]
= (11000 * 47000 - 10000 * 47000) / 31000
= 47000 * (11000 - 10000) / 31000
= 47000 * 1000 / 31000
= 4700 * 10 / 31
≈ 1516.13 rupees
Therefore, the share of B exceeds C by approximately 1516.13 rupees.
The correct option is (e) None of these.
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