In March, Daniel gave his wife, Nora, $8000 for household expenditure. Nora spent 50% of the sum on rental, 20% on food and saved the rest. In April, Daniel reduced the sum he gave to Nora. Nora 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 April. By what percentage was the sum given to Nora reduced by?

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

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

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

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

80 u = 64% 

80 u = 5120

1 u = 5120 ÷ 80 = 64

Amount that Daniel gave to Nora in April
= 100 u
= 100 x 64
= $6400

Amount that Nora received less from Daniel from March to April
= 8000 - 6400
= $1600

Percentage that the sum given to Nora was reduced by from March to April
= ¹⁶⁰⁰₈₀₀₀ x 100%
= 20%

Answer(s): 20%