In April, Howard gave his wife, Tina, $3500 for household expenditure. Tina spent 50% of the sum on rental, 20% on food and saved the rest. In May, Howard reduced the sum he gave to Tina. Tina 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 Tina reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$3500
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in May	80 u		20 u	100 u

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

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

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

100% → 3500

1% → 3500 ÷ 100 = 35

64% → 64 x  35 = 2240

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

80 u = 64% 

80 u = 2240

1 u = 2240 ÷ 80 = 28

Amount that Howard gave to Tina in May
= 100 u
= 100 x 28
= $2800

Amount that Tina received less from Howard from April to May
= 3500 - 2800
= $700

Percentage that the sum given to Tina was reduced by from April to May
= ⁷⁰⁰₃₅₀₀ x 100%
= 20%

Answer(s): 20%