Diana's income is 10% less than Jen's income and 45% less than Marion's income. If Jen's income is $4200 less than that of Marion's income,
- Find Jen's income.
- Given that Jen received a 5% income increment, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
| Diana |
Jen |
Marion |
| 9x11 |
10x11 |
|
| 11x9 |
|
20x9 |
| 99 u |
110 u |
180 u |
Diana's income is the repeated identity. Make Diana's salary the same. LCM of 9 and 11 is 99.
Amount that Jen's income is less than Marion's salary
= 180 u - 110 u
= 70 u
70 u = 4200
1 u = 4200 ÷ 70 = 60
Jen's income
= 110 u
= 110 x 60
= $6600
(b)
Percentage of Jen's income after 5% income increment
= 100% + 5%
= 105%
Jen's new income
= 105% x 6600
=
105100 x 6600
= $6930
Answer(s): (a) $6600; (b) $6930
