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Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio

  • A.2 : 5
  • B.4 : 5
  • C.6 : 7
  • D.3 : 5

Answer: B

The two numbers are in the ratio 4 : 5.

Take the third number as 100. The first is 20% more, 120, and the second 50% more, 150:

\[ 120 : 150 = 4 : 5 \]

2 : 5 compares the percentage increases themselves, which ignores the common base, and 6 : 7 and 3 : 5 do not follow.

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