Gem's income is 30% less than Hilda's income and 35% less than Anna's income. If Hilda's income is $600 less than that of Anna's income,
- Find Hilda's income.
- Given that Hilda received a 25% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Gem |
Hilda |
Anna |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Gem's income is the repeated identity. Make Gem's salary the same. LCM of 7 and 13 is 91.
Amount that Hilda's income is less than Anna's salary
= 140 u - 130 u
= 10 u
10 u = 600
1 u = 600 ÷ 10 = 60
Hilda's income
= 130 u
= 130 x 60
= $7800
(b)
Percentage of Hilda's income after 25% income increment
= 100% + 25%
= 125%
Hilda's new income
= 125% x 7800
=
125100 x 7800
= $9750
Answer(s): (a) $7800; (b) $9750
