Eva's salary is 30% less than Fanny's salary and 35% less than Rachel's salary. If Fanny's salary is $300 less than that of Rachel's salary,
- Find Fanny's salary.
- Given that Fanny received a 25% salary increment, find her new salary.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Eva |
Fanny |
Rachel |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Eva's salary is the repeated identity. Make Eva's salary the same. LCM of 7 and 13 is 91.
Amount that Fanny's salary is less than Rachel's salary
= 140 u - 130 u
= 10 u
10 u = 300
1 u = 300 ÷ 10 = 30
Fanny's salary
= 130 u
= 130 x 30
= $3900
(b)
Percentage of Fanny's salary after 25% salary increment
= 100% + 25%
= 125%
Fanny's new salary
= 125% x 3900
=
125100 x 3900
= $4875
Answer(s): (a) $3900; (b) $4875
