Sarah's income is 20% less than Xandra's income and 35% less than Kimberly's income. If Xandra's income is $600 less than that of Kimberly's income,
- Find Xandra's income.
- Given that Xandra received a 35% income increment, find her new income.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 35% = 65%
65% =
65100 =
1320
| Sarah |
Xandra |
Kimberly |
| 4x13 |
5x13 |
|
| 13x4 |
|
20x4 |
| 52 u |
65 u |
80 u |
Sarah's income is the repeated identity. Make Sarah's salary the same. LCM of 4 and 13 is 52.
Amount that Xandra's income is less than Kimberly's salary
= 80 u - 65 u
= 15 u
15 u = 600
1 u = 600 ÷ 15 = 40
Xandra's income
= 65 u
= 65 x 40
= $2600
(b)
Percentage of Xandra's income after 35% income increment
= 100% + 35%
= 135%
Xandra's new income
= 135% x 2600
=
135100 x 2600
= $3510
Answer(s): (a) $2600; (b) $3510
