Julie's income is 30% less than Shiyun's income and 35% less than Emily's income. If Shiyun's income is $1000 less than that of Emily's income,
- Find Shiyun's income.
- Given that Shiyun received a 30% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Julie |
Shiyun |
Emily |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Julie's income is the repeated identity. Make Julie's salary the same. LCM of 7 and 13 is 91.
Amount that Shiyun's income is less than Emily's salary
= 140 u - 130 u
= 10 u
10 u = 1000
1 u = 1000 ÷ 10 = 100
Shiyun's income
= 130 u
= 130 x 100
= $13000
(b)
Percentage of Shiyun's income after 30% income increment
= 100% + 30%
= 130%
Shiyun's new income
= 130% x 13000
=
130100 x 13000
= $16900
Answer(s): (a) $13000; (b) $16900
