In January, Tim gave his wife, Yen, $6000 for household expenditure. Yen spent 60% of the sum on rental, 20% on food and saved the rest. In February, Tim reduced the sum he gave to Yen. Yen 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 February. By what percentage was the sum given to Yen reduced by?

	Rental	Food	Savings	Total
Before	60%	20%	20%	$6000
Change		- 4%	- ?	- ?
After	60%	16%
Comparing the amounts spent in February	80 u		20 u	100 u

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

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

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

100% → 6000

1% → 6000 ÷ 100 = 60

76% → 76 x  60 = 4560

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

80 u = 76% 

80 u = 4560

1 u = 4560 ÷ 80 = 57

Amount that Tim gave to Yen in February
= 100 u
= 100 x 57
= $5700

Amount that Yen received less from Tim from January to February
= 6000 - 5700
= $300

Percentage that the sum given to Yen was reduced by from January to February
= ³⁰⁰₆₀₀₀ x 100%
= 5%

Answer(s): 5%