Jane's income is 20% less than Shannon's income and 45% less than Gillian's income. If Shannon's income is $2000 less than that of Gillian's income,
- Find Shannon's income.
- Given that Shannon received a 10% income increment, find her new income.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 45% = 55%
55% =
55100 =
1120
| Jane |
Shannon |
Gillian |
| 4x11 |
5x11 |
|
| 11x4 |
|
20x4 |
| 44 u |
55 u |
80 u |
Jane's income is the repeated identity. Make Jane's salary the same. LCM of 4 and 11 is 44.
Amount that Shannon's income is less than Gillian's salary
= 80 u - 55 u
= 25 u
25 u = 2000
1 u = 2000 ÷ 25 = 80
Shannon's income
= 55 u
= 55 x 80
= $4400
(b)
Percentage of Shannon's income after 10% income increment
= 100% + 10%
= 110%
Shannon's new income
= 110% x 4400
=
110100 x 4400
= $4840
Answer(s): (a) $4400; (b) $4840
