M is 30% of Q. Q is 20% of P, and N is 50% of P. What is the value of M/N?

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M is 30% of Q. Q is 20% of P, and N is 50% of P. What is the value of M/N?

  1. A.

    3/10

  2. B.

    3/25

  3. C.

    2/5

  4. D.

    3/20

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Show answer & explanation

Correct answer: B

Correct answer: 3/25

  • Given: M = 30% of Q, Q = 20% of P, and N = 50% of P.

  • Express M in terms of P: Q = 0.2P, so M = 0.3 × Q = 0.3 × 0.2P = 0.06P.

  • Express N in terms of P: N = 0.5P.

  • Compute the ratio: M/N = 0.06P / 0.5P = 0.12 = 3/25.

So the value of M/N is 3/25.

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