Marion's income is 30% less than Zara's income and 40% less than Cindy's income. If Zara's income is $350 less than that of Cindy's income,
- Find Zara's income.
- Given that Zara received a 15% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 40% = 60%
60% =
60100 =
35
| Marion |
Zara |
Cindy |
| 7x3 |
10x3 |
|
| 3x7 |
|
5x7 |
| 21 u |
30 u |
35 u |
Marion's income is the repeated identity. Make Marion's salary the same. LCM of 7 and 3 is 21.
Amount that Zara's income is less than Cindy's salary
= 35 u - 30 u
= 5 u
5 u = 350
1 u = 350 ÷ 5 = 70
Zara's income
= 30 u
= 30 x 70
= $2100
(b)
Percentage of Zara's income after 15% income increment
= 100% + 15%
= 115%
Zara's new income
= 115% x 2100
=
115100 x 2100
= $2415
Answer(s): (a) $2100; (b) $2415
