Julie's income is 10% less than Marion's income and 35% less than Roshel's income. If Marion's income is $5000 less than that of Roshel's income,
- Find Marion's income.
- Given that Marion received a 20% income cut, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Julie |
Marion |
Roshel |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Julie's income is the repeated identity. Make Julie's salary the same. LCM of 9 and 13 is 117.
Amount that Marion's income is less than Roshel's salary
= 180 u - 130 u
= 50 u
50 u = 5000
1 u = 5000 ÷ 50 = 100
Marion's income
= 130 u
= 130 x 100
= $13000
(b)
Percentage of Marion's income after 20% income cut
= 100% - 20%
= 80%
Marion's new income
= 80% x 13000
=
80100 x 13000
= $10400
Answer(s): (a) $13000; (b) $10400
