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A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Rs. 10000, their ratio of investment would have been 3 : 2. The amount invested by A was ?
  • a)
    Rs. 8000
  • b)
    Rs. 12000
  • c)
    Rs. 18000
  • d)
    Rs. 20000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A and B started a business investing amounts in the ratio of 2 : 3. If...
Initial ratio of investments by A and B = 2 : 3
Let their respective investments are 2x and 3x
According to the question,
If A added Rs. 10000 to his investment
Then the new ratio = 3 : 2
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Most Upvoted Answer
A and B started a business investing amounts in the ratio of 2 : 3. If...
To solve this problem, we can set up a system of equations based on the given information.

Let's assume that A initially invested 2x and B initially invested 3x.

According to the given ratio, we can write the equation:

A's initial investment / B's initial investment = 2x / 3x

Next, we are given that if A invests an additional amount of Rs. 10000, the new ratio becomes 3:2. So, we can set up another equation:

(A's initial investment + Rs. 10000) / B's initial investment = 3 / 2

Simplifying this equation, we get:

(2x + 10000) / 3x = 3 / 2

Cross multiplying, we get:

2(2x + 10000) = 3(3x)

Expanding, we have:

4x + 20000 = 9x

Subtracting 4x from both sides, we get:

20000 = 5x

Dividing both sides by 5, we find:

x = 4000

Now, we can calculate the initial amount invested by A:

A's initial investment = 2x = 2 * 4000 = Rs. 8000

Therefore, the correct answer is option A) Rs. 8000.
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A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Rs. 10000, their ratio of investment would have been 3 : 2. The amount invested by A was ?a)Rs. 8000b)Rs. 12000c)Rs. 18000d)Rs. 20000Correct answer is option 'A'. Can you explain this answer?
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A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Rs. 10000, their ratio of investment would have been 3 : 2. The amount invested by A was ?a)Rs. 8000b)Rs. 12000c)Rs. 18000d)Rs. 20000Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Rs. 10000, their ratio of investment would have been 3 : 2. The amount invested by A was ?a)Rs. 8000b)Rs. 12000c)Rs. 18000d)Rs. 20000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Rs. 10000, their ratio of investment would have been 3 : 2. The amount invested by A was ?a)Rs. 8000b)Rs. 12000c)Rs. 18000d)Rs. 20000Correct answer is option 'A'. Can you explain this answer?.
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