Elyse's salary is 10% less than Yen's salary and 45% less than Hilda's salary. If Yen's salary is $6300 less than that of Hilda's salary,
- Find Yen's salary.
- Given that Yen received a 30% salary increment, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
| Elyse |
Yen |
Hilda |
| 9x11 |
10x11 |
|
| 11x9 |
|
20x9 |
| 99 u |
110 u |
180 u |
Elyse's salary is the repeated identity. Make Elyse's salary the same. LCM of 9 and 11 is 99.
Amount that Yen's salary is less than Hilda's salary
= 180 u - 110 u
= 70 u
70 u = 6300
1 u = 6300 ÷ 70 = 90
Yen's salary
= 110 u
= 110 x 90
= $9900
(b)
Percentage of Yen's salary after 30% salary increment
= 100% + 30%
= 130%
Yen's new salary
= 130% x 9900
=
130100 x 9900
= $12870
Answer(s): (a) $9900; (b) $12870
