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A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is
    Correct answer is '800'. Can you explain this answer?
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    A sum of money is split among Amal, Sunil and Mita so that the ratio o...
    Given ratio of shares of Amal and Sunil is 3: 2
    Also the ratio of shares of Sunil and Mita is 4: 5 .
    Hence the ratio of shares of Anil, Sunil and Mita is 6: 4: 5
    View all questions of this test
    Most Upvoted Answer
    A sum of money is split among Amal, Sunil and Mita so that the ratio o...
    Let's assume that the shares of Amal, Sunil, and Mita are represented by the variables A, S, and M, respectively.

    According to the given information, the ratio of the shares of Amal and Sunil is 3:2. This can be written as A:S = 3:2.

    Similarly, the ratio of the shares of Sunil and Mita is 4:5. This can be written as S:M = 4:5.

    Let's assume the common ratio between the shares of Amal, Sunil, and Mita is x. Therefore, we can write:

    A = 3x
    S = 2x
    S = (4/5)M

    Now, let's find the difference between the largest and smallest shares. Since the largest share is unknown, let's assume it is represented by L.

    L - A = 400

    Substituting the values of A and L:

    L - 3x = 400

    Similarly, the smallest share is S, so:

    M - S = 400

    Substituting the values of S and M:

    M - 2x = 400

    Now, let's solve the system of equations to find the value of x.

    (4/5)M - 2x = 400

    Multiplying both sides by 5 to eliminate the fraction:

    4M - 10x = 2000

    2M - 4x = 800

    Multiplying the second equation by 2 to eliminate x:

    4M - 8x = 1600

    Subtracting the second equation from the first:

    4M - 10x - (4M - 8x) = 2000 - 1600

    -2x = 400

    Dividing both sides by -2:

    x = -200

    Since x represents a share of money, it cannot be negative. Therefore, there must be an error in the given information or the problem statement.
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    A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, isCorrect answer is '800'. Can you explain this answer?
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    A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, isCorrect answer is '800'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, isCorrect answer is '800'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, isCorrect answer is '800'. Can you explain this answer?.
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