# Easy Ratios & Proportion Solved QuestionAptitude Discussion

 Q. If $40\%$ of a number is equal to two-third of another number, what is the ratio of first number to the second number?
 ✖ A. $2:5$ ✖ B. $3:7$ ✖ C. $7:3$ ✔ D. $5:3$

Solution:
Option(D) is correct

let $40\%$  of A = $\dfrac{2}{3}$

Then $\dfrac{40A}{100}=\dfrac{2B}{3}$

\begin{align*} \Rightarrow \dfrac{2A}{5}=\dfrac{2B}{3}\\ \Rightarrow A:B=5:3 \end{align*}

Edit: Thank you, Anurag, corrected the typo.

Edit 2: Thank you Sanju Sharma, corrected the typo.

Edit 3: For an alternative solution, check comment by Sikandar Naeem.

## (6) Comment(s)

Sikandar Naeem
()

Suppose two numbers are $4$ & $y$

$40\%$ of $x$ is equal to $2/3$ of $y$

$\dfrac{40}{100} x = \dfrac{2}{3} y$

$\dfrac{2}{5} x= \dfrac{2}{3} y$

$\dfrac{x}{y} = \dfrac{2}{3} * \dfrac{5}{2}$

$\dfrac{x}{y} = \dfrac{10}{6}$

$\therefore \dfrac{x}{y} = \dfrac{5}{3}$

Now changing fraction into ratio,

$x : y = 5 : 3$

Sanju Sharma
()

You wrote 5 instead of 3 in given solution.

$a \times \dfrac{2}{5}=b \times \dfrac{2}{3}$

Deepak
()

Thank you, corrected it.

Anurag
()

I think the question needs to be modified. Instead of 40 of a number, it should be 40 percent of a number.

Deepak
()

Thank you for letting me know, corrected the typo.

Raji
()

I'm confused.. it's 1/5:1/3.

IF A is smaller than B then so is its ratio