In July, Caden gave his wife, Diana, $8000 for household expenditure. Diana spent 50% of the sum on rental, 20% on food and saved the rest. In August, Caden reduced the sum he gave to Diana. Diana spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 20% of the sum given to her in August. By what percentage was the sum given to Diana reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$8000
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in August	80 u		20 u	100 u

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

Amount that Caden reduced on food in percent
= 30% x 20%
= ³⁰₁₀₀ x 20
= 6%

Total amount that Caden spent on rental and food in percent
= 50% + 14%
= 64%

100% → 8000

1% → 8000 ÷ 100 = 80

64% → 64 x  80 = 5120

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

80 u = 64% 

80 u = 5120

1 u = 5120 ÷ 80 = 64

Amount that Caden gave to Diana in August
= 100 u
= 100 x 64
= $6400

Amount that Diana received less from Caden from July to August
= 8000 - 6400
= $1600

Percentage that the sum given to Diana was reduced by from July to August
= ¹⁶⁰⁰₈₀₀₀ x 100%
= 20%

Answer(s): 20%