In April, Bryan gave his wife, Anna, $10000 for household expenditure. Anna spent 50% of the sum on rental, 20% on food and saved the rest. In May, Bryan reduced the sum he gave to Anna. Anna 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 May. By what percentage was the sum given to Anna reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$10000
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in May	80 u		20 u	100 u

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

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

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

100% → 10000

1% → 10000 ÷ 100 = 100

64% → 64 x  100 = 6400

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

80 u = 64% 

80 u = 6400

1 u = 6400 ÷ 80 = 80

Amount that Bryan gave to Anna in May
= 100 u
= 100 x 80
= $8000

Amount that Anna received less from Bryan from April to May
= 10000 - 8000
= $2000

Percentage that the sum given to Anna was reduced by from April to May
= ²⁰⁰⁰₁₀₀₀₀ x 100%
= 20%

Answer(s): 20%