In April, Jenson gave his wife, Shiyun, $8000 for household expenditure. Shiyun spent 60% of the sum on rental, 20% on food and saved the rest. In May, Jenson reduced the sum he gave to Shiyun. Shiyun spent the same amount on rental and reduced the amount she spent on food by 20%. She saved the remaining 20% of the sum given to her in May. By what percentage was the sum given to Shiyun reduced by?

	Rental	Food	Savings	Total
Before	60%	20%	20%	$8000
Change		- 4%	- ?	- ?
After	60%	16%
Comparing the amounts spent in May	80 u		20 u	100 u

Amount that Jenson saved in percent
= 100% - 60% - 20%
= 20%

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

Total amount that Jenson spent on rental and food in percent
= 60% + 16%
= 76%

100% → 8000

1% → 8000 ÷ 100 = 80

76% → 76 x  80 = 6080

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

80 u = 76% 

80 u = 6080

1 u = 6080 ÷ 80 = 76

Amount that Jenson gave to Shiyun in May
= 100 u
= 100 x 76
= $7600

Amount that Shiyun received less from Jenson from April to May
= 8000 - 7600
= $400

Percentage that the sum given to Shiyun was reduced by from April to May
= ⁴⁰⁰₈₀₀₀ x 100%
= 5%

Answer(s): 5%