Erika's salary is 30% less than Fanny's salary and 45% less than Shiyun's salary. If Fanny's salary is $1500 less than that of Shiyun's salary,
- Find Fanny's salary.
- Given that Fanny received a 5% salary increment, find her new salary.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
| Erika |
Fanny |
Shiyun |
| 7x11 |
10x11 |
|
| 11x7 |
|
20x7 |
| 77 u |
110 u |
140 u |
Erika's salary is the repeated identity. Make Erika's salary the same. LCM of 7 and 11 is 77.
Amount that Fanny's salary is less than Shiyun's salary
= 140 u - 110 u
= 30 u
30 u = 1500
1 u = 1500 ÷ 30 = 50
Fanny's salary
= 110 u
= 110 x 50
= $5500
(b)
Percentage of Fanny's salary after 5% salary increment
= 100% + 5%
= 105%
Fanny's new salary
= 105% x 5500
=
105100 x 5500
= $5775
Answer(s): (a) $5500; (b) $5775
