In June, Albert gave his wife, Irene, $2500 for household expenditure. Irene spent 50% of the sum on rental, 20% on food and saved the rest. In July, Albert reduced the sum he gave to Irene. Irene spent the same amount on rental and reduced the amount she spent on food by 20%. She saved the remaining 25% of the sum given to her in July. By what percentage was the sum given to Irene reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$2500
Change		- 4%	- ?	- ?
After	50%	16%
Comparing the amounts spent in July	75 u		25 u	100 u

Amount that Albert saved in percent
= 100% - 50% - 20%
= 30%

Amount that Albert reduced on food in percent
= 20% x 20%
= ²⁰₁₀₀ x 20
= 4%

Total amount that Albert spent on rental and food in percent
= 50% + 16%
= 66%

100% → 2500

1% → 2500 ÷ 100 = 25

66% → 66 x  25 = 1650

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

75 u = 66% 

75 u = 1650

1 u = 1650 ÷ 75 = 22

Amount that Albert gave to Irene in July
= 100 u
= 100 x 22
= $2200

Amount that Irene received less from Albert from June to July
= 2500 - 2200
= $300

Percentage that the sum given to Irene was reduced by from June to July
= ³⁰⁰₂₅₀₀ x 100%
= 12%

Answer(s): 12%