In September, Ian gave his wife, Cindy, $2500 for household expenditure. Cindy spent 60% of the sum on rental, 10% on food and saved the rest. In October, Ian reduced the sum he gave to Cindy. Cindy 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 October. By what percentage was the sum given to Cindy reduced by?

	Rental	Food	Savings	Total
Before	60%	10%	30%	$2500
Change		- 1%	- ?	- ?
After	60%	9%
Comparing the amounts spent in October	75 u		25 u	100 u

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

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

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

100% → 2500

1% → 2500 ÷ 100 = 25

69% → 69 x  25 = 1725

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

75 u = 69% 

75 u = 1725

1 u = 1725 ÷ 75 = 23

Amount that Ian gave to Cindy in October
= 100 u
= 100 x 23
= $2300

Amount that Cindy received less from Ian from September to October
= 2500 - 2300
= $200

Percentage that the sum given to Cindy was reduced by from September to October
= ²⁰⁰₂₅₀₀ x 100%
= 8%

Answer(s): 8%