Question

25 percent of 600 is equal to 15 percent of what number?
A). 700
B). 800
C). 900
D). 1000

Answer 1

Hint: In this question remember to let x be the number whose 15 percent is equal to 25 percent of 600, use this information to approach the solution of the problem.
Complete step-by-step solution -
According to the given information, 25 percent of 600 is equal to 15 of some number
So to find the number
Let x be the number whose 15 percent is equal to 25 percent of 600
So by the given information $15\%$ of x = $25\%$ of 600
$\dfrac{{15}}{{100}} \times x = \dfrac{{25}}{{100}} \times 600$
$ \Rightarrow 15 \times x = 25 \times 6 \times 100$
$ \Rightarrow x = \dfrac{{15000}}{{15}}$
$ \Rightarrow x = 1000$
So 1000 is the number whose $15\%$ is equal to $25\%$ of 600
Hence, option D is the correct option.

Note: In the above solution we came across the term “percent” which can be explained as a representation of the number ratio of a fraction of 100 the percent is represented by the symbol “$\%$”. To explain the concept of percent let’s use an example suppose we have the fraction number 0.05 it can be represented in percent as $5\%$.