In August, Tim gave his wife, Nicole, $5000 for household expenditure. Nicole spent 60% of the sum on rental, 10% on food and saved the rest. In September, Tim reduced the sum he gave to Nicole. Nicole spent the same amount on rental and reduced the amount she spent on food by 10%. She saved the remaining 25% of the sum given to her in September. By what percentage was the sum given to Nicole reduced by?

	Rental	Food	Savings	Total
Before	60%	10%	30%	$5000
Change		- 1%	- ?	- ?
After	60%	9%
Comparing the amounts spent in September	75 u		25 u	100 u

Amount that Tim saved in percent
= 100% - 60% - 10%
= 30%

Amount that Tim reduced on food in percent
= 10% x 10%
= ¹⁰₁₀₀ x 10
= 1%

Total amount that Tim spent on rental and food in percent
= 60% + 9%
= 69%

100% → 5000

1% → 5000 ÷ 100 = 50

69% → 69 x  50 = 3450

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

75 u = 69% 

75 u = 3450

1 u = 3450 ÷ 75 = 46

Amount that Tim gave to Nicole in September
= 100 u
= 100 x 46
= $4600

Amount that Nicole received less from Tim from August to September
= 5000 - 4600
= $400

Percentage that the sum given to Nicole was reduced by from August to September
= ⁴⁰⁰₅₀₀₀ x 100%
= 8%

Answer(s): 8%