Gem's salary is 30% less than Risa's salary and 35% less than Hazel's salary. If Risa's salary is $600 less than that of Hazel's salary,
- Find Risa's salary.
- Given that Risa received a 5% salary increment, find her new salary.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Gem |
Risa |
Hazel |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Gem's salary is the repeated identity. Make Gem's salary the same. LCM of 7 and 13 is 91.
Amount that Risa's salary is less than Hazel's salary
= 140 u - 130 u
= 10 u
10 u = 600
1 u = 600 ÷ 10 = 60
Risa's salary
= 130 u
= 130 x 60
= $7800
(b)
Percentage of Risa's salary after 5% salary increment
= 100% + 5%
= 105%
Risa's new salary
= 105% x 7800
=
105100 x 7800
= $8190
Answer(s): (a) $7800; (b) $8190
