In October, Archie gave his wife, Penelope, $8000 for household expenditure. Penelope spent 60% of the sum on rental, 20% on food and saved the rest. In November, Archie reduced the sum he gave to Penelope. Penelope 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 November. By what percentage was the sum given to Penelope reduced by?

	Rental	Food	Savings	Total
Before	60%	20%	20%	$8000
Change		- 6%	- ?	- ?
After	60%	14%
Comparing the amounts spent in November	80 u		20 u	100 u

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

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

Total amount that Archie spent on rental and food in percent
= 60% + 14%
= 74%

100% → 8000

1% → 8000 ÷ 100 = 80

74% → 74 x  80 = 5920

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

80 u = 74% 

80 u = 5920

1 u = 5920 ÷ 80 = 74

Amount that Archie gave to Penelope in November
= 100 u
= 100 x 74
= $7400

Amount that Penelope received less from Archie from October to November
= 8000 - 7400
= $600

Percentage that the sum given to Penelope was reduced by from October to November
= ⁶⁰⁰₈₀₀₀ x 100%
= 7.5%

Answer(s): 7.5%