Question

Carol is given a 10% pay decrease her new wage is £306 per week. what would be her weekly wage if, instead, she had received a 10% pay increase? it would be more helpful if i had a step by step explanation!

Answer 1

Given :

New weekly wage of Carol after a decrease of 10 % = $ 306

To Find :

Her weekly wage if she had received a 10 % increase instead of 10% decrease = ?

Solution :

Let the previous weekly wage ( i.e. before increase or decrease ) be x .

So for the 1st case i.e. for 10 % decrease we have :

$x - \frac{x}{10} = 306$

Or, $\frac{9x}{10}= 306$

Or, 9x = 3060

Or x = 340

So, the initial weekly wage was $ 340 , now using this for the 2nd case i.e. for 10 % increase we can find her weekly wage after 10 % increase as :

= $x + \frac{x}{10}$

=$\frac{11x}{10}$

On substituting the value of x i.e. value of initial wage we have :

= $\frac{11\times 340}{10}$

= 374

Hence , instead of decrease of 10% pay if her weekly wage is increased by 10 % pay , then her new weekly wage will be $374