Hazel's salary is 10% less than Penelope's salary and 40% less than Zara's salary. If Penelope's salary is $300 less than that of Zara's salary,
- Find Penelope's salary.
- Given that Penelope received a 10% salary increment, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 40% = 60%
60% =
60100 =
35
| Hazel |
Penelope |
Zara |
| 9x3 |
10x3 |
|
| 3x9 |
|
5x9 |
| 27 u |
30 u |
45 u |
Hazel's salary is the repeated identity. Make Hazel's salary the same. LCM of 9 and 3 is 27.
Amount that Penelope's salary is less than Zara's salary
= 45 u - 30 u
= 15 u
15 u = 300
1 u = 300 ÷ 15 = 20
Penelope's salary
= 30 u
= 30 x 20
= $600
(b)
Percentage of Penelope's salary after 10% salary increment
= 100% + 10%
= 110%
Penelope's new salary
= 110% x 600
=
110100 x 600
= $660
Answer(s): (a) $600; (b) $660
