Usha's income is 30% less than Anna's income and 40% less than Irene's income. If Anna's income is $450 less than that of Irene's income,
- Find Anna's income.
- Given that Anna received a 15% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 40% = 60%
60% =
60100 =
35
Usha |
Anna |
Irene |
7x3 |
10x3 |
|
3x7 |
|
5x7 |
21 u |
30 u |
35 u |
Usha's income is the repeated identity. Make Usha's salary the same. LCM of 7 and 3 is 21.
Amount that Anna's income is less than Irene's salary
= 35 u - 30 u
= 5 u
5 u = 450
1 u = 450 ÷ 5 = 90
Anna's income
= 30 u
= 30 x 90
= $2700
(b)
Percentage of Anna's income after 15% income increment
= 100% + 15%
= 115%
Anna's new income
= 115% x 2700
=
115100 x 2700
= $3105
Answer(s): (a) $2700; (b) $3105