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Mathematics

Which of the following is the ratio between a number and the number obtained by adding one-fifth of that number?

  1. 4 : 5

  2. 5 : 4

  3. 5 : 6

  4. 6 : 5

Ratio Proportion

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Answer

Let the number be x.

Given,

Number obtained by adding number and one-fifth of that number.

⇒x+x5⇒x(1+15)⇒x(5+15)⇒(6x5).\Rightarrow x + \dfrac{x}{5} \\[1em] \Rightarrow x\Big(1 + \dfrac{1}{5}\Big) \\[1em] \Rightarrow x\Big(\dfrac{5 + 1}{5}\Big) \\[1em] \Rightarrow \Big(\dfrac{6x}{5}\Big).

Ratio = x : 65\dfrac{6}{5}x

= x65x\dfrac{x}{\dfrac{6}{5}x}

= 5x6x\dfrac{5x}{6x}

= 56\dfrac{5}{6}

= 5 : 6.

Hence, option 3 is the correct option.

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