In October, Harry gave his wife, Anna, $8000 for household expenditure. Anna spent 60% of the sum on rental, 10% on food and saved the rest. In November, Harry reduced the sum he gave to Anna. Anna spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 20% of the sum given to her in November. By what percentage was the sum given to Anna reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
60% |
10% |
30% |
$8000 |
Change |
|
- 3% |
- ? |
- ? |
After |
60% |
7% |
|
|
Comparing the amounts spent in November |
80 u |
20 u |
100 u |
Amount that Harry saved in percent
= 100% - 60% - 10%
= 30%
Amount that Harry reduced on food in percent
= 30% x 10%
=
30100 x 10
= 3%
Total amount that Harry spent on rental and food in percent
= 60% + 7%
= 67%
100% → 8000
1% → 8000 ÷ 100 = 80
67% → 67 x 80 = 5360
The total amount that Harry spent on rental and food is repeated.
80 u = 67%
80 u = 5360
1 u = 5360 ÷ 80 = 67
Amount that Harry gave to Anna in November
= 100 u
= 100 x 67
= $6700
Amount that Anna received less from Harry from October to November
= 8000 - 6700
= $1300
Percentage that the sum given to Anna was reduced by from October to November
=
13008000 x 100%
= 16.25%
Answer(s): 16.25%