Chapter 6.1, Problem 50STP

To determine

Calculate the $600\%$ of the given number.

Answer to Problem 50STP

The number is $1632$ .

Explanation of Solution

Given:

It is given in the question that $68$ is $25\%$ of a number.

Concept Used:

In this, use the concept of percent proportion such that the ratio of given two number will equal to the ratio of $p/100$ .

Calculation:

Here,

If $68$ is $25\%$ of a number x , then by the percent proportion:

  $\begin{array}{l}\frac{68}{x}=\frac{25}{100}\\ x\cdot 25=68\cdot 100\\ x=\frac{68\times 100}{25}\\ x=\frac{6800}{25}\\ x=272\end{array}$

Now, to find $600\%of272$ ,

  $\begin{array}{l}\frac{y}{272}=\frac{600}{100}\\ y\cdot 100=272\cdot 600\\ y=\frac{272\times 600}{100}\\ y=272\times 6\\ y=1632\end{array}$

Conclusion:

The number will be $1632$ .