Mathematics
Grade-7
Easy
Question
The capacity of a container was increased from 35 gallons to 50 gallons. Determine the percent mark-up.
- 42.85%
- 56.8%
- 62.15%
- 17.89%
Hint:
A mark-up is the value added to the original value. And a percentage mark-up means a percentage increase in the original value. In this question, the capacity of a gallon is increased from 35 gallons to 50 gallons. It means there is an increase in the capacity, or in other words, a mark-up in the capacity. We have to find the mark-up percentage for this question.
The correct answer is: 42.85%
For this question, the original capacity is 35 gallons and the new capacity is 50 gallons.
Now we have to find the mark-up or increase in the original value. The formula for mark-up is as follows:
Mark-up = new capacity - original capacity
= 50 – 35
=15
So the increase in capacity is 15 gallons
Let’s find the percentage mark-up. It means a percentage increase in the original value. In this case, the percentage increase in the capacity of gallons is the mark-up percentage.
The formula for mark-up percentage is as follows:
For this case we can write,
Now we will substitute all the values.
= 
× 100
= 0.4285 × 100
= 42.85%.
So we can see that the percent mark-up in the capacity of the gallon is 42.85%.
Therefore, option (a), which is '42.85%' is the right option.
We have to be careful if the value is increased and decreased. We have to see to see if we are told to find mark-up or mark-up percentage.
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