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A bus company increases the price of all of its tickets by 6% - Junior Cycle Mathematics - Question a - 2016
Question a
A bus company increases the price of all of its tickets by 6%. Before the increase, the price of a ticket from Cork to Dublin was €17.00. (i) Find the price of this... show full transcript
Worked Solution & Example Answer:A bus company increases the price of all of its tickets by 6% - Junior Cycle Mathematics - Question a - 2016
Step 1
Find the price of this ticket after the increase.
Answer
To find the price after a 6% increase on the original price of €17.00, we can calculate the increase first:
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Calculate the increase:
Increase = 0.06 × 17 = €1.02
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Add the increase to the original price:
New Price = 17 + 1.02 = €18.02
Therefore, the price of the ticket after the increase is €18.02.
Step 2
Find the percentage decrease in the price of this ticket.
Answer
To find the percentage decrease when the price is reduced from €18.02 back to €17.00:
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Calculate the decrease in price:
Decrease = 18.02 - 17 = €1.02
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To find the percentage decrease, use the formula:
Percentage Decrease = (Decrease / Original Price) × 100
So, Percentage Decrease = (1.02 / 18.02) × 100 ≈ 5.66%
Rounding to one decimal place, the percentage decrease is 5.7%.