Photo AI

Naomi is given a 10% pay decrease - OCR - GCSE Maths - Question 7 - 2017 - Paper 1

Question 7

Naomi is given a 10% pay decrease. Her new wage is £252 per week. What would be her weekly wage if, instead, she had received a 10% pay increase?

Worked Solution & Example Answer:Naomi is given a 10% pay decrease - OCR - GCSE Maths - Question 7 - 2017 - Paper 1

Step 1

Calculate Naomi's original wage after the 10% decrease

96%

114 rated

Answer

Let her original wage be denoted as $x$ . According to the given information, Naomi's wage has been reduced by 10%. Therefore, we can express her new wage as:

$0.90x = 252$

To find her original wage, we solve for $x$ :

$x = \frac{252}{0.90} = 280$

Thus, Naomi's original wage before the decrease was £280.

Step 2

Calculate Naomi's wage if she had received a 10% pay increase instead

99%

104 rated

Answer

If Naomi had received a 10% increase instead, we calculate her wage based on her original wage of £280. Her new wage with a 10% increase can be calculated as follows:

$1.10 \cdot 280 = 308$

Therefore, if Naomi had received a 10% increase, her weekly wage would be £308.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;