Lynn's income is 10% less than Emma's income and 35% less than Marion's income. If Emma's income is $2500 less than that of Marion's income,
- Find Emma's income.
- Given that Emma received a 15% income increment, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Lynn |
Emma |
Marion |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Lynn's income is the repeated identity. Make Lynn's salary the same. LCM of 9 and 13 is 117.
Amount that Emma's income is less than Marion's salary
= 180 u - 130 u
= 50 u
50 u = 2500
1 u = 2500 ÷ 50 = 50
Emma's income
= 130 u
= 130 x 50
= $6500
(b)
Percentage of Emma's income after 15% income increment
= 100% + 15%
= 115%
Emma's new income
= 115% x 6500
=
115100 x 6500
= $7475
Answer(s): (a) $6500; (b) $7475
