Divide Rs. 1800 among Marmik, Sujata and Kapil in the ratio of 1/3:1/4:1/6​

Question

Divide Rs. 1800 among Marmik, Sujata and Kapil in the ratio of 1/3:1/4:1/6​

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Ngọc Diệp 4 years 2021-09-01T15:41:36+00:00 1 Answers 18 views 0

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    2021-09-01T15:42:42+00:00

    Answer:

    Marmik = 800; Sujata = 600; Kapil = 400

    Step-by-step explanation:

    Given

    Let

    M \to Marmik

    S \to Sujata

    K \to Kapil

    Given

    M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}

    Amount = 1800

    Required

    Divide

    We have:

    M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}

    Multiply the ratio by 12 (to convert them to whole numbers)

    M:S:K = 12 *\frac{1}{3}:12*\frac{1}{4}:12*\frac{1}{6}

    M:S:K = 4 : 3 : 2

    The total ratio is:

    Total = 4 +  3 + 2 = 9

    So, the amount each collected is:

    Marmik = \frac{M}{Total} * Amount

    Marmik = \frac{4}{9} *1800 = 800

    Using the same formula for others, we have:

    Sujata = \frac{3}{9} *1800 = 600

    Kapil = \frac{2}{9} *1800 = 400

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