Photo AI

In July the price of a holiday is £500 - OCR - GCSE Maths - Question 17 - 2018 - Paper 1

Question 17

In July the price of a holiday is £500. In August the price increases by 25%. In September the price drops to £500 again. Work out the percentage decrease from the ... show full transcript

Worked Solution & Example Answer:In July the price of a holiday is £500 - OCR - GCSE Maths - Question 17 - 2018 - Paper 1

Step 1

Calculate the August Price

96%

114 rated

Answer

To find the price in August after a 25% increase, we first calculate 25% of the initial price in July, which is £500:

ext{Increase} = 0.25 imes 500 = £125

Then, we add this increase to the July price:

ext{August price} = 500 + 125 = £625

Step 2

Calculate the Decrease

99%

104 rated

Answer

Now, we need to calculate the change in price from August to September:

ext{Decrease} = ext{August price} - ext{September price} = 625 - 500 = £125

Step 3

Calculate the Percentage Decrease

96%

101 rated

Answer

Finally, we find the percentage decrease using the formula:

ext{Percentage Decrease} = rac{ ext{Decrease}}{ ext{August price}} imes 100

Substituting the values:

ext{Percentage Decrease} = rac{125}{625} imes 100 = 20\\%

Thus, the percentage decrease from the August price to the September price is 20%.

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

;