Penelope's salary is 10% less than Cathy's salary. When their salaries are increased by 70%, their combined salaries will be $15827. How much was Cathy's salary before the increase?
| |
Penelope |
Cathy |
Total |
| Before |
9 u |
10 u |
19 u |
| Change |
+ ? |
+ ? |
+ 13.3 u |
| After |
? |
? |
32.3 u
$$(n11040 |
100% - 10% = 90%
PenelopeCathy =
90100 =
910 Combined salaries at first
= 9 u + 10 u
= 19 u
Increase in the combined salaries
= 70% x 19 u
=
70100 x 19 u
= 13.3 u
Combined salaries in the end
= 19 u + 13.3 u
= 32.3 u
32.3 u = 15827
1 u = 15827 ÷ 32.3 = 490
Cathy's salary before the increase
= 10 u
= 10 x 490
= $4900
Answer: $4900
