Raeann's income is 30% less than Marion's income and 40% less than Diana's income. If Marion's income is $200 less than that of Diana's income,
- Find Marion's income.
- Given that Marion received a 40% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 40% = 60%
60% =
60100 =
35
| Raeann |
Marion |
Diana |
| 7x3 |
10x3 |
|
| 3x7 |
|
5x7 |
| 21 u |
30 u |
35 u |
Raeann's income is the repeated identity. Make Raeann's salary the same. LCM of 7 and 3 is 21.
Amount that Marion's income is less than Diana's salary
= 35 u - 30 u
= 5 u
5 u = 200
1 u = 200 ÷ 5 = 40
Marion's income
= 30 u
= 30 x 40
= $1200
(b)
Percentage of Marion's income after 40% income increment
= 100% + 40%
= 140%
Marion's new income
= 140% x 1200
=
140100 x 1200
= $1680
Answer(s): (a) $1200; (b) $1680
