Jane's income is 20% less than Sarah's income and 40% less than Marion's income. If Sarah's income is $200 less than that of Marion's income,
- Find Sarah's income.
- Given that Sarah received a 35% income increment, find her new income.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 40% = 60%
60% =
60100 =
35
| Jane |
Sarah |
Marion |
| 4x3 |
5x3 |
|
| 3x4 |
|
5x4 |
| 12 u |
15 u |
20 u |
Jane's income is the repeated identity. Make Jane's salary the same. LCM of 4 and 3 is 12.
Amount that Sarah's income is less than Marion's salary
= 20 u - 15 u
= 5 u
5 u = 200
1 u = 200 ÷ 5 = 40
Sarah's income
= 15 u
= 15 x 40
= $600
(b)
Percentage of Sarah's income after 35% income increment
= 100% + 35%
= 135%
Sarah's new income
= 135% x 600
=
135100 x 600
= $810
Answer(s): (a) $600; (b) $810
