Jane's income is 30% less than Joelle's income and 45% less than Cindy's income. If Joelle's income is $1500 less than that of Cindy's income,
- Find Joelle's income.
- Given that Joelle received a 35% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
Jane |
Joelle |
Cindy |
7x11 |
10x11 |
|
11x7 |
|
20x7 |
77 u |
110 u |
140 u |
Jane's income is the repeated identity. Make Jane's salary the same. LCM of 7 and 11 is 77.
Amount that Joelle's income is less than Cindy's salary
= 140 u - 110 u
= 30 u
30 u = 1500
1 u = 1500 ÷ 30 = 50
Joelle's income
= 110 u
= 110 x 50
= $5500
(b)
Percentage of Joelle's income after 35% income increment
= 100% + 35%
= 135%
Joelle's new income
= 135% x 5500
=
135100 x 5500
= $7425
Answer(s): (a) $5500; (b) $7425