Gem's salary is 10% more than Gwen's salary. When their salaries are increased by 20%, their combined salaries will be $9828. How much was Gem's salary before the increase?
| |
Gem |
Gwen |
Total |
| Before |
11 u |
10 u |
21 u |
| Change |
+ ? |
+ ? |
+ 4.2 u |
| After |
? |
? |
25.2 u
$9828 |
100% + 10% = 110%
GemGwen =
110100 =
1110 Combined salaries at first
= 11 u + 10 u
= 21 u
Increase in the combined salaries
= 20% x 21 u
=
20100 x 21 u
= 4.2 u
Combined salaries in the end
= 21 u + 4.2 u
= 25.2 u
25.2 u = 9828
1 u = 9828 ÷ 25.2 = 390
Gem's salary before the increase
= 11 u
= 11 x 390
= $4290
Answer: $4290
