Question

What number increased by 57% results in the value of 50.24?

Answer 1

ANSWER

32

EXPLANATION

Let the number we are looking for be x.

It is increased by 57% to result in 50.24.

An increase by 57% means that 57% of the number (x) is added to x.

That is:

$\begin{gathered} (57\text{ \% of x) + x = 50.24} \\ \Rightarrow(\frac{57}{100}\cdot x)\text{ + x = 50.24} \\ 0.57x\text{ + x = 50.24} \\ 1.57x\text{ = 50.24} \\ \text{Divide through by 1.57:} \\ x\text{ = }\frac{50.24}{1.57} \\ x\text{ = }32 \end{gathered}$

The number is 32.