Eva's income is 10% less than Dana's income and 40% less than Cathy's income. If Dana's income is $600 less than that of Cathy's income,
- Find Dana's income.
- Given that Dana received a 40% income increment, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 40% = 60%
60% =
60100 =
35
| Eva |
Dana |
Cathy |
| 9x3 |
10x3 |
|
| 3x9 |
|
5x9 |
| 27 u |
30 u |
45 u |
Eva's income is the repeated identity. Make Eva's salary the same. LCM of 9 and 3 is 27.
Amount that Dana's income is less than Cathy's salary
= 45 u - 30 u
= 15 u
15 u = 600
1 u = 600 ÷ 15 = 40
Dana's income
= 30 u
= 30 x 40
= $1200
(b)
Percentage of Dana's income after 40% income increment
= 100% + 40%
= 140%
Dana's new income
= 140% x 1200
=
140100 x 1200
= $1680
Answer(s): (a) $1200; (b) $1680
