Abi's salary is 10% less than Jen's salary and 35% less than Pamela's salary. If Jen's salary is $1000 less than that of Pamela's salary,
- Find Jen's salary.
- Given that Jen received a 5% salary increment, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Abi |
Jen |
Pamela |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Abi's salary is the repeated identity. Make Abi's salary the same. LCM of 9 and 13 is 117.
Amount that Jen's salary is less than Pamela's salary
= 180 u - 130 u
= 50 u
50 u = 1000
1 u = 1000 ÷ 50 = 20
Jen's salary
= 130 u
= 130 x 20
= $2600
(b)
Percentage of Jen's salary after 5% salary increment
= 100% + 5%
= 105%
Jen's new salary
= 105% x 2600
=
105100 x 2600
= $2730
Answer(s): (a) $2600; (b) $2730
