Opal's income is 30% less than Usha's income and 40% less than Gillian's income. If Usha's income is $250 less than that of Gillian's income,
- Find Usha's income.
- Given that Usha received a 20% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 40% = 60%
60% =
60100 =
35
| Opal |
Usha |
Gillian |
| 7x3 |
10x3 |
|
| 3x7 |
|
5x7 |
| 21 u |
30 u |
35 u |
Opal's income is the repeated identity. Make Opal's salary the same. LCM of 7 and 3 is 21.
Amount that Usha's income is less than Gillian's salary
= 35 u - 30 u
= 5 u
5 u = 250
1 u = 250 ÷ 5 = 50
Usha's income
= 30 u
= 30 x 50
= $1500
(b)
Percentage of Usha's income after 20% income increment
= 100% + 20%
= 120%
Usha's new income
= 120% x 1500
=
120100 x 1500
= $1800
Answer(s): (a) $1500; (b) $1800
