Question

Two numbers are respectively 20% & 50% more than a third number. What is the ratio of the two number ?

Answer 1

Let the no be x .

20℅ of x = x*20/100 = x/5

The no which is 20℅ more than x =
x + (x/5) = 6x / 5

50℅ of x = x *50/100 = x/2

The no which is 50℅ more than x =
x + ( x/2 ) = 3x/2

Now, the ratio of these two numbers =
{ 6x /5 } / { 3x / 2 }

➡ 4/5

➡ 4:5

Hope it will help you !!!

Answer 2

Hey mate ..
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Let, the third number be x

Then,

The first number

= $20\% \: + \: x \\ \\ = \frac{20}{100} + x \\ \\ = \frac{20 + 100x}{100} \\ \\ = \frac{120x}{100} \\ \\ = \frac{6x}{5}$

Also,

The second number

=$50\% + x \\ \\ = \frac{50}{100} + x \\ \\ = \frac{50 + 100x}{100} \\ \\ = \frac{150x}{100} \\ \\ = \frac{3x}{2}$

Thus, The ratio of two numbers $= \frac{6x}{5}$: $\frac{3x}{2}$
$= \frac{ \frac{6x}{5 }}{ \frac{3x}{2} } \\ \\ = \frac{12x}{15x} \\ \\ = \frac{4}{5}$

= 4 : 5

Hope it helps !!