Question

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 1

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

Answer 2

Question

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

Solution

Let, two numbers be x and y

then,

$\bf \: \frac{25}{100} \times x = \frac{40}{100} \times y \\ \\ \bf \: 25x = 40y \\ \\ \bf \: \frac{x}{y} = \frac{40}{25} = \frac{8}{5}$

So, the ratio between the numbers will be

x : y = 8 : 5 ( Ans.)