Question

Mr. Capildeo's salary sfter a 5% increase was $6255 (a) calculage his salary if a 3% incrwae had been given instead (b) Calculate his original salry

Answer 1

Original Salary:
`5,957.14`

Increase in 3%:
`6,135.85`

Explanation:

So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do:
`o*(x)/(100)` where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation:
`o*1.05=6255 \implies o = (6255)/(1.05) = 5,957.14`. This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation:
`5,957.14*1.03=6,135.85`