Xuan's salary is 20% less than Winnie's salary and 35% less than Mary's salary. If Winnie's salary is $1200 less than that of Mary's salary,
- Find Winnie's salary.
- Given that Winnie received a 5% salary cut, find her new salary.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 35% = 65%
65% =
65100 =
1320
| Xuan |
Winnie |
Mary |
| 4x13 |
5x13 |
|
| 13x4 |
|
20x4 |
| 52 u |
65 u |
80 u |
Xuan's salary is the repeated identity. Make Xuan's salary the same. LCM of 4 and 13 is 52.
Amount that Winnie's salary is less than Mary's salary
= 80 u - 65 u
= 15 u
15 u = 1200
1 u = 1200 ÷ 15 = 80
Winnie's salary
= 65 u
= 65 x 80
= $5200
(b)
Percentage of Winnie's salary after 5% salary cut
= 100% - 5%
= 95%
Winnie's new salary
= 95% x 5200
=
95100 x 5200
= $4940
Answer(s): (a) $5200; (b) $4940
