In a library, the ratio of the books on Computer, Physics and Mathematics is…

2023

In a library, the ratio of the books on Computer, Physics and Mathematics is 5:7:8.

If the collection of books is increased respectively by 40%, 50% and 75%, find out the new ratio:

  1. A.

    3:9:5

  2. B.

    7:5:3

  3. C.

    2:3:4

  4. D.

    2:5:4

Attempted by 73 students.

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Correct answer: C

Answer: 2:3:4

Explanation:

  1. Start with the original ratio 5:7:8.

  2. Apply the increases: multiply by 1.4 (40%), 1.5 (50%) and 1.75 (75%): 5×1.4 = 7, 7×1.5 = 10.5, 8×1.75 = 14. So the new ratio is 7:10.5:14.

  3. Remove the decimal by multiplying all parts by 2: 7:10.5:14 → 14:21:28.

  4. Simplify by dividing by the greatest common divisor 7: 14:21:28 → 2:3:4.

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