In July, Elijah gave his wife, Ivory, $2500 for household expenditure. Ivory spent 50% of the sum on rental, 10% on food and saved the rest. In August, Elijah reduced the sum he gave to Ivory. Ivory spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 25% of the sum given to her in August. By what percentage was the sum given to Ivory reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
50% |
10% |
40% |
$2500 |
Change |
|
- 3% |
- ? |
- ? |
After |
50% |
7% |
|
|
Comparing the amounts spent in August |
75 u |
25 u |
100 u |
Amount that Elijah saved in percent
= 100% - 50% - 10%
= 40%
Amount that Elijah reduced on food in percent
= 30% x 10%
=
30100 x 10
= 3%
Total amount that Elijah spent on rental and food in percent
= 50% + 7%
= 57%
100% → 2500
1% → 2500 ÷ 100 = 25
57% → 57 x 25 = 1425
The total amount that Elijah spent on rental and food is repeated.
75 u = 57%
75 u = 1425
1 u = 1425 ÷ 75 = 19
Amount that Elijah gave to Ivory in August
= 100 u
= 100 x 19
= $1900
Amount that Ivory received less from Elijah from July to August
= 2500 - 1900
= $600
Percentage that the sum given to Ivory was reduced by from July to August
=
6002500 x 100%
= 24%
Answer(s): 24%