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Can you explain the answer of this question below:
A and B invest Rs 12,000 and Rs 16,000 respectively in a business. At the year-end, they share the profit in the ratio of 3:1. If A has invested his capital for the whole year, for how many months B has invested his capital?
- A:4 months
- B:3 months
- C:6 months
- D:8 months
The answer is b.
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Can you explain the answer of this question below:A and B invest Rs 12...
Let B invested for n months
n = 3
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Can you explain the answer of this question below:A and B invest Rs 12...
Problem Analysis:
- A and B invest Rs 12,000 and Rs 16,000 respectively in a business.
- The profit is shared in the ratio of 3:1.
- A has invested his capital for the whole year.
- We need to find out for how many months B has invested his capital.
Solution:
To solve this problem, we can use the concept of ratio and proportion.
Let's assume that B has invested his capital for 'x' months.
Step 1: Calculate the profit ratio:
The profit is shared in the ratio of 3:1.
This means that out of every 4 parts of the profit, A gets 3 parts and B gets 1 part.
Step 2: Calculate the profit share of A and B:
Let's assume the total profit is 'P'.
The profit share of A = (3/4) * P
The profit share of B = (1/4) * P
Step 3: Calculate the investment ratio:
The investment ratio is the ratio of the capitals invested by A and B.
The investment ratio = Capital invested by A / Capital invested by B
Given that A has invested Rs 12,000 and B has invested Rs 16,000.
So, the investment ratio = 12000/16000 = 3/4
Step 4: Equate the profit share ratio with the investment ratio:
The profit share ratio of A and B = The investment ratio of A and B
(3/4) * P / (1/4) * P = 3/4
Simplifying the equation, we get:
3P/4P = 3/4
Step 5: Calculate the value of x:
To find out for how many months B has invested his capital, we need to calculate the value of x.
Let's assume B has invested his capital for 'x' months.
The investment ratio of A and B = 3/4 = Capital invested by A / Capital invested by B = Rs 12000 / (Rs 16000 * x/12)
Simplifying the equation, we get:
3/4 = 12000 / (16000 * x/12)
Cross-multiplying the equation, we get:
3 * 16000 * x/12 = 4 * 12000
Simplifying further, we get:
4000 * x = 48000
Dividing both sides of the equation by 4000, we get:
x = 48000 / 4000 = 12
Therefore, B has invested his capital for 12 months.
Conclusion:
- A has invested his capital for the whole year.
- B has invested his capital for 12 months.
- A and B invest Rs 12,000 and Rs 16,000 respectively in a business.
- The profit is shared in the ratio of 3:1.
- A has invested his capital for the whole year.
- We need to find out for how many months B has invested his capital.
Solution:
To solve this problem, we can use the concept of ratio and proportion.
Let's assume that B has invested his capital for 'x' months.
Step 1: Calculate the profit ratio:
The profit is shared in the ratio of 3:1.
This means that out of every 4 parts of the profit, A gets 3 parts and B gets 1 part.
Step 2: Calculate the profit share of A and B:
Let's assume the total profit is 'P'.
The profit share of A = (3/4) * P
The profit share of B = (1/4) * P
Step 3: Calculate the investment ratio:
The investment ratio is the ratio of the capitals invested by A and B.
The investment ratio = Capital invested by A / Capital invested by B
Given that A has invested Rs 12,000 and B has invested Rs 16,000.
So, the investment ratio = 12000/16000 = 3/4
Step 4: Equate the profit share ratio with the investment ratio:
The profit share ratio of A and B = The investment ratio of A and B
(3/4) * P / (1/4) * P = 3/4
Simplifying the equation, we get:
3P/4P = 3/4
Step 5: Calculate the value of x:
To find out for how many months B has invested his capital, we need to calculate the value of x.
Let's assume B has invested his capital for 'x' months.
The investment ratio of A and B = 3/4 = Capital invested by A / Capital invested by B = Rs 12000 / (Rs 16000 * x/12)
Simplifying the equation, we get:
3/4 = 12000 / (16000 * x/12)
Cross-multiplying the equation, we get:
3 * 16000 * x/12 = 4 * 12000
Simplifying further, we get:
4000 * x = 48000
Dividing both sides of the equation by 4000, we get:
x = 48000 / 4000 = 12
Therefore, B has invested his capital for 12 months.
Conclusion:
- A has invested his capital for the whole year.
- B has invested his capital for 12 months.
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Can you explain the answer of this question below:A and B invest Rs 12...
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Can you explain the answer of this question below:A and B invest Rs 12,000 and Rs 16,000 respectively in a business. At the year-end, they share the profit in the ratio of 3:1. If A has invested his capital for the whole year, for how many months B has invested his capital?A:4 monthsB:3 monthsC:6 monthsD:8 monthsThe answer is b.
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