Mathematics
Grade-7
Easy
Question
A sportsman increased his target of daily jog of 15 miles by 22%. His new target will be ________ miles.
- 3.3
- 18.3
- 12
- 5.6
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. The question says the sportsman has increased his daily target of a daily jog of 15 miles. It means the original value of the daily jog is 15 miles. And the value has increased by 22%. It means the mark-up percent of the original value is 22%. Now we have to find his new value for the daily jog from the given data.
The correct answer is: 18.3
The original value of the daily jog is 15 miles. And the mark-up percentage on the original value is 22%.
We have to find the new of the daily jog of the sportsman. Considering the given data, it can be done using the formula for mark-up percentage.
The formula for mark-up percentage is as follows:
We can see we have all the values from the given formula except the new value. So what we will do is rearrange this formula in a way to find the new value.
So to rearrange, first we will multiply both sides by original value and divide both sides by 100. On the right side of the equation, we are left with only the new value minus the original value. The equation becomes as follows:
. 
3.3 = new value - 15
Rearranging the above equation we get,
New value = 15+3.3
=18.3
Therefore the new value of daily jog is 18.3 miles.
So option (b), which is '18.3' is the right answer.
We have to be careful about which quantity is increased.
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