Marion's salary is 10% less than Zara's salary and 35% less than Cathy's salary. If Zara's salary is $1500 less than that of Cathy's salary,
- Find Zara's salary.
- Given that Zara received a 35% salary increment, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Marion |
Zara |
Cathy |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Marion's salary is the repeated identity. Make Marion's salary the same. LCM of 9 and 13 is 117.
Amount that Zara's salary is less than Cathy's salary
= 180 u - 130 u
= 50 u
50 u = 1500
1 u = 1500 ÷ 50 = 30
Zara's salary
= 130 u
= 130 x 30
= $3900
(b)
Percentage of Zara's salary after 35% salary increment
= 100% + 35%
= 135%
Zara's new salary
= 135% x 3900
=
135100 x 3900
= $5265
Answer(s): (a) $3900; (b) $5265
