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

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

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

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

Total amount that Albert 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 Albert spent on rental and food is repeated. 

75 u = 69% 

75 u = 6900

1 u = 6900 ÷ 75 = 92

Amount that Albert gave to Cathy in July
= 100 u
= 100 x 92
= $9200

Amount that Cathy received less from Albert from June to July
= 10000 - 9200
= $800

Percentage that the sum given to Cathy was reduced by from June to July
= ⁸⁰⁰₁₀₀₀₀ x 100%
= 8%

Answer(s): 8%