In October, Howard gave his wife, Jaslyn, $8000 for household expenditure. Jaslyn spent 60% of the sum on rental, 20% on food and saved the rest. In November, Howard reduced the sum he gave to Jaslyn. Jaslyn spent the same amount on rental and reduced the amount she spent on food by 25%. She saved the remaining 20% of the sum given to her in November. By what percentage was the sum given to Jaslyn reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
60% |
20% |
20% |
$8000 |
Change |
|
- 5% |
- ? |
- ? |
After |
60% |
15% |
|
|
Comparing the amounts spent in November |
80 u |
20 u |
100 u |
Amount that Howard saved in percent
= 100% - 60% - 20%
= 20%
Amount that Howard reduced on food in percent
= 25% x 20%
=
25100 x 20
= 5%
Total amount that Howard spent on rental and food in percent
= 60% + 15%
= 75%
100% → 8000
1% → 8000 ÷ 100 = 80
75% → 75 x 80 = 6000
The total amount that Howard spent on rental and food is repeated.
80 u = 75%
80 u = 6000
1 u = 6000 ÷ 80 = 75
Amount that Howard gave to Jaslyn in November
= 100 u
= 100 x 75
= $7500
Amount that Jaslyn received less from Howard from October to November
= 8000 - 7500
= $500
Percentage that the sum given to Jaslyn was reduced by from October to November
=
5008000 x 100%
= 6.25%
Answer(s): 6.25%