In August, Julian gave his wife, Hilda, $8000 for household expenditure. Hilda spent 50% of the sum on rental, 10% on food and saved the rest. In September, Julian reduced the sum he gave to Hilda. Hilda 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 September. By what percentage was the sum given to Hilda reduced by?

	Rental	Food	Savings	Total
Before	50%	10%	40%	$8000
Change		- 3%	- ?	- ?
After	50%	7%
Comparing the amounts spent in September	80 u		20 u	100 u

Amount that Julian saved in percent
= 100% - 50% - 10%
= 40%

Amount that Julian reduced on food in percent
= 30% x 10%
= ³⁰₁₀₀ x 10
= 3%

Total amount that Julian spent on rental and food in percent
= 50% + 7%
= 57%

100% → 8000

1% → 8000 ÷ 100 = 80

57% → 57 x  80 = 4560

The total amount that Julian spent on rental and food is repeated. 

80 u = 57% 

80 u = 4560

1 u = 4560 ÷ 80 = 57

Amount that Julian gave to Hilda in September
= 100 u
= 100 x 57
= $5700

Amount that Hilda received less from Julian from August to September
= 8000 - 5700
= $2300

Percentage that the sum given to Hilda was reduced by from August to September
= ²³⁰⁰₈₀₀₀ x 100%
= 28.75%

Answer(s): 28.75%