Question

75% of a number is equal to 5/8th of another number. what is the ratio between the first number and second number respectively?

Answer 1

Answer:

5: 6

Step-by-step explanation:

let the two numbers be x and y

then 75℅ is equal to 5/8

then (x*75)/100=5y/8

x/y=(5*100)/(8*75)

x/y=5:6

Answer 2

The ratio between the first number and second number respectively is 5 : 6.

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Let's solve the given problem:

Let's say,

"x" → the first number

"y" → the second number

75% of x will be = $\frac{75}{100}\times x$

$\frac{5}{8} th$ of another number will be = $\frac{5}{8} \times y$

Here we are given that 75% of a number is equal to 5/8th of another number, so we can form an equation as,

[75% of the first number] = [5/8th of the second number]

$\implies \frac{75}{100}\times x = \frac{5}{8} \times y$

$\implies \frac{3}{4}\times x = \frac{5}{8} \times y$

$\implies \frac{x}{y}= \frac{5}{8} \times \frac{4}{3}$

$\implies \frac{x}{y}= \frac{5}{2} \times \frac{1}{3}$

$\implies \frac{x}{y}= \frac{5}{6}$

$\implies \bold{x :y = 5:6}$

Thus, the ratio between the first number and the second number respectively is 5 : 6.

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