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