In September, Eric gave his wife, Victoria, $6500 for household expenditure. Victoria spent 50% of the sum on rental, 20% on food and saved the rest. In October, Eric reduced the sum he gave to Victoria. Victoria 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 October. By what percentage was the sum given to Victoria reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$6500
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in October	80 u		20 u	100 u

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

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

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

100% → 6500

1% → 6500 ÷ 100 = 65

64% → 64 x  65 = 4160

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

80 u = 64% 

80 u = 4160

1 u = 4160 ÷ 80 = 52

Amount that Eric gave to Victoria in October
= 100 u
= 100 x 52
= $5200

Amount that Victoria received less from Eric from September to October
= 6500 - 5200
= $1300

Percentage that the sum given to Victoria was reduced by from September to October
= ¹³⁰⁰₆₅₀₀ x 100%
= 20%

Answer(s): 20%