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 $15\mathrm{\%}$ of x = $25\mathrm{\%}$ of 600
${\displaystyle \frac{15}{100}}\times x={\displaystyle \frac{25}{100}}\times 600$
$\Rightarrow 15\times x=25\times 6\times 100$
$\Rightarrow x={\displaystyle \frac{15000}{15}}$
$\Rightarrow x=1000$
So 1000 is the number whose $15\mathrm{\%}$ is equal to $25\mathrm{\%}$ 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 “$\mathrm{\%}$”. 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 $5\mathrm{\%}$.