Usha's income is 10% less than Barbara's income and 35% less than Xandra's income. If Barbara's income is $1000 less than that of Xandra's income,
- Find Barbara's income.
- Given that Barbara received a 25% income increment, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Usha |
Barbara |
Xandra |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Usha's income is the repeated identity. Make Usha's salary the same. LCM of 9 and 13 is 117.
Amount that Barbara's income is less than Xandra's salary
= 180 u - 130 u
= 50 u
50 u = 1000
1 u = 1000 ÷ 50 = 20
Barbara's income
= 130 u
= 130 x 20
= $2600
(b)
Percentage of Barbara's income after 25% income increment
= 100% + 25%
= 125%
Barbara's new income
= 125% x 2600
=
125100 x 2600
= $3250
Answer(s): (a) $2600; (b) $3250
