Question

If 15% of 40 is greater than 25% of a number by 2, find the number.

Answer 1

Hint: In this particular question use the concept that assume any variable (say x) be the number and use the concept that p% of q is written as $\dfrac{p}{{100}}\left( q \right)$ so use these concepts to reach the solution of the question.

Complete step-by-step answer:
Given data:
15% of 40 is greater than 25% of a number by 2.
So we have to find out what the value of the number is.
Let the number be x.
And we all know that p% of q is written as $\dfrac{p}{{100}}\left( q \right)$.
Now it is given that 15% of 40 is greater than 25% of a number by 2.
So construct the linear equation according to the given information we have,
So, 15% of 40 = 25% of x + 2
$ \Rightarrow \left( {\dfrac{{15}}{{100}}} \right)40 = \left( {\dfrac{{25}}{{100}}} \right)x + 2$
Now simplify this equation we have,
$ \Rightarrow 6 = \dfrac{x}{4} + 2$
$ \Rightarrow 6 - 2 = \dfrac{x}{4}$
$ \Rightarrow 4 = \dfrac{x}{4}$
$ \Rightarrow x = 16$
So this is the required number.

Note: Whenever we face such types of questions the key concept we have to remember is that always recall that if 15% of 40 is greater than 25% of a number by 2, then 15% of 40 is equal to the sum of 25% of x and 2, where x is the number so simplify this as above we will get the required answer.