Jen's income is 20% less than Tina's income and 35% less than Cathy's income. If Tina's income is $1200 less than that of Cathy's income,
- Find Tina's income.
- Given that Tina received a 35% income increment, find her new income.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 35% = 65%
65% =
65100 =
1320
| Jen |
Tina |
Cathy |
| 4x13 |
5x13 |
|
| 13x4 |
|
20x4 |
| 52 u |
65 u |
80 u |
Jen's income is the repeated identity. Make Jen's salary the same. LCM of 4 and 13 is 52.
Amount that Tina's income is less than Cathy's salary
= 80 u - 65 u
= 15 u
15 u = 1200
1 u = 1200 ÷ 15 = 80
Tina's income
= 65 u
= 65 x 80
= $5200
(b)
Percentage of Tina's income after 35% income increment
= 100% + 35%
= 135%
Tina's new income
= 135% x 5200
=
135100 x 5200
= $7020
Answer(s): (a) $5200; (b) $7020
