Natalie's salary is 30% less than Fanny's salary and 35% less than Erika's salary. If Fanny's salary is $500 less than that of Erika'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% - 35% = 65%
65% =
65100 =
1320
| Natalie |
Fanny |
Erika |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Natalie's salary is the repeated identity. Make Natalie's salary the same. LCM of 7 and 13 is 91.
Amount that Fanny's salary is less than Erika's salary
= 140 u - 130 u
= 10 u
10 u = 500
1 u = 500 ÷ 10 = 50
Fanny's salary
= 130 u
= 130 x 50
= $6500
(b)
Percentage of Fanny's salary after 5% salary increment
= 100% + 5%
= 105%
Fanny's new salary
= 105% x 6500
=
105100 x 6500
= $6825
Answer(s): (a) $6500; (b) $6825
