In January, Reggie gave his wife, Kathy, $10000 for household expenditure. Kathy spent 60% of the sum on rental, 10% on food and saved the rest. In February, Reggie reduced the sum he gave to Kathy. Kathy 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 February. By what percentage was the sum given to Kathy reduced by?

	Rental	Food	Savings	Total
Before	60%	10%	30%	$10000
Change		- 1%	- ?	- ?
After	60%	9%
Comparing the amounts spent in February	75 u		25 u	100 u

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

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

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

100% → 10000

1% → 10000 ÷ 100 = 100

69% → 69 x  100 = 6900

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

75 u = 69% 

75 u = 6900

1 u = 6900 ÷ 75 = 92

Amount that Reggie gave to Kathy in February
= 100 u
= 100 x 92
= $9200

Amount that Kathy received less from Reggie from January to February
= 10000 - 9200
= $800

Percentage that the sum given to Kathy was reduced by from January to February
= ⁸⁰⁰₁₀₀₀₀ x 100%
= 8%

Answer(s): 8%