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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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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. for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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. covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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