Question

In August, Ralph bought a new set of golf clubs that cost $565. The cost of the clubs was marked up to $650 in October. Which proportion can be used to find what percent of the original price the new price is, if p represents the unknown percent?

Answer 1

The percent of the original price, the new price is given as 86.9%

Solution:

Given, In August, Ralph bought a new set of golf clubs that cost $565.  

The cost of the clubs was marked up to $650 in October.  

We have to find which proportion can be used to find what percent of the original price the new price is, if p represents the unknown percent?

The formula is normally partial/whole equals to percentage/100.  In this case $565 is partial because the price increased.  

So it will be,

$\frac{565}{650}=\frac{p}{100}$

$\begin{array}{l}{565 \times 100=p \times 650} \\\\ {650 p=56500} \\\\ {p=\frac{56500}{650}=86.9230}\end{array}$

Whenever you get results like these, you just need to round to the nearest hundredths place, which is 86.9%.

Hence, the percentage is 86.9%