In June, Sam gave his wife, Jade, $8000 for household expenditure. Jade spent 60% of the sum on rental, 10% on food and saved the rest. In July, Sam reduced the sum he gave to Jade. Jade spent the same amount on rental and reduced the amount she spent on food by 10%. She saved the remaining 20% of the sum given to her in July. By what percentage was the sum given to Jade reduced by?

	Rental	Food	Savings	Total
Before	60%	10%	30%	$8000
Change		- 1%	- ?	- ?
After	60%	9%
Comparing the amounts spent in July	80 u		20 u	100 u

Amount that Sam saved in percent
= 100% - 60% - 10%
= 30%

Amount that Sam reduced on food in percent
= 10% x 10%
= ¹⁰₁₀₀ x 10
= 1%

Total amount that Sam spent on rental and food in percent
= 60% + 9%
= 69%

100% → 8000

1% → 8000 ÷ 100 = 80

69% → 69 x  80 = 5520

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

80 u = 69% 

80 u = 5520

1 u = 5520 ÷ 80 = 69

Amount that Sam gave to Jade in July
= 100 u
= 100 x 69
= $6900

Amount that Jade received less from Sam from June to July
= 8000 - 6900
= $1100

Percentage that the sum given to Jade was reduced by from June to July
= ¹¹⁰⁰₈₀₀₀ x 100%
= 13.75%

Answer(s): 13.75%