1.

25% percent of a number is equal to 40% percent of another number. What is the ratio between the first and the second number respectively?

Answer»

Answer:

8:5

Step-by-step explanation:

{\underline{{\text{Given}}}}

25% of one no. is EQUAL to 40% 2ND no.

{\underline{{\text{To Find:}}}}

The ratio of that TWO numbers

{\underline{{\text{Solution:}}}}

let, the 1st no. be x and the 2nd no. be y.

According to question,

25\% \: \text{of} \: x = 40\%\: \text{of} \: y \\ \\ \implies \frac{25}{100} x = \frac{40}{100} y \\ \\ \implies\frac{x}{y} = \frac{40}{100} \times \frac{100}{25} \\ \\ \implies \frac{x}{y} = \frac{ \cancel{40}}{ \cancel{100}} \times \frac{ \cancel{100}}{ \cancel{25}} \\ \\ \implies \frac{x}{y} = \frac{8}{5} \\ \\ \implies x : y \: = 8: 5

Hence, the required ratio of 1st no : 2nd no = 8 : 5


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