Zara's income is 20% less than Betty's income and 40% less than Kathy's income. If Betty's income is $250 less than that of Kathy's income,
- Find Betty's income.
- Given that Betty received a 20% income cut, find her new income.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 40% = 60%
60% =
60100 =
35
| Zara |
Betty |
Kathy |
| 4x3 |
5x3 |
|
| 3x4 |
|
5x4 |
| 12 u |
15 u |
20 u |
Zara's income is the repeated identity. Make Zara's salary the same. LCM of 4 and 3 is 12.
Amount that Betty's income is less than Kathy's salary
= 20 u - 15 u
= 5 u
5 u = 250
1 u = 250 ÷ 5 = 50
Betty's income
= 15 u
= 15 x 50
= $750
(b)
Percentage of Betty's income after 20% income cut
= 100% - 20%
= 80%
Betty's new income
= 80% x 750
=
80100 x 750
= $600
Answer(s): (a) $750; (b) $600
