Question
Kate bought a bus pass that had an initial value of $ 90. For every bus ride Kate takes, $ 1.80, the cost of one bus ride, is subtracted from the value of the pass. What percent of the initial value of Kate's bus pass is the cost of one bus ride?
- 1.8%
- 2%
- 5%
- 98%
The correct answer is: 2%
HINT: We have to find what percent of 90 is 1.80.
Complete step by step solution:
Initial value of bus pass that Kate had bought = $ 90
Cost of one bus ride = $ 1.80
Let percentage of one bus ride to the initial amount be x%.
Given that x% of $ 90 = $ 1.80.
This can be written as
On simplification, we get 9x = 18
On dividing both the sides by 2, we get x = 2%
Hence 2% of the initial value of Kate’s bus pass is the cost of one bus ride.
Hence option B is the correct answer.
Note: We can solve this by the method of percent proportion. That is, we can find how much percentage of 90 is 1.8
by framing the equation like . On cross multiplication, we get 90x = 180. On further simplifications, we get
x = 2%.
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