Nora's income is 10% less than Risa's income and 35% less than Yoko's income. If Risa's income is $4000 less than that of Yoko's income,
- Find Risa's income.
- Given that Risa received a 25% income cut, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Nora |
Risa |
Yoko |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Nora's income is the repeated identity. Make Nora's salary the same. LCM of 9 and 13 is 117.
Amount that Risa's income is less than Yoko's salary
= 180 u - 130 u
= 50 u
50 u = 4000
1 u = 4000 ÷ 50 = 80
Risa's income
= 130 u
= 130 x 80
= $10400
(b)
Percentage of Risa's income after 25% income cut
= 100% - 25%
= 75%
Risa's new income
= 75% x 10400
=
75100 x 10400
= $7800
Answer(s): (a) $10400; (b) $7800
