In September, Tommy gave his wife, Fanny, $5000 for household expenditure. Fanny spent 50% of the sum on rental, 20% on food and saved the rest. In October, Tommy reduced the sum he gave to Fanny. Fanny 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 October. By what percentage was the sum given to Fanny reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
50% |
20% |
30% |
$5000 |
Change |
|
- 6% |
- ? |
- ? |
After |
50% |
14% |
|
|
Comparing the amounts spent in October |
80 u |
20 u |
100 u |
Amount that Tommy saved in percent
= 100% - 50% - 20%
= 30%
Amount that Tommy reduced on food in percent
= 30% x 20%
=
30100 x 20
= 6%
Total amount that Tommy spent on rental and food in percent
= 50% + 14%
= 64%
100% → 5000
1% → 5000 ÷ 100 = 50
64% → 64 x 50 = 3200
The total amount that Tommy spent on rental and food is repeated.
80 u = 64%
80 u = 3200
1 u = 3200 ÷ 80 = 40
Amount that Tommy gave to Fanny in October
= 100 u
= 100 x 40
= $4000
Amount that Fanny received less from Tommy from September to October
= 5000 - 4000
= $1000
Percentage that the sum given to Fanny was reduced by from September to October
=
10005000 x 100%
= 20%
Answer(s): 20%