In April, Luke gave his wife, Roshel, $7500 for household expenditure. Roshel spent 60% of the sum on rental, 10% on food and saved the rest. In May, Luke reduced the sum he gave to Roshel. Roshel spent the same amount on rental and reduced the amount she spent on food by 10%. She saved the remaining 25% of the sum given to her in May. By what percentage was the sum given to Roshel reduced by?

	Rental	Food	Savings	Total
Before	60%	10%	30%	$7500
Change		- 1%	- ?	- ?
After	60%	9%
Comparing the amounts spent in May	75 u		25 u	100 u

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

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

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

100% → 7500

1% → 7500 ÷ 100 = 75

69% → 69 x  75 = 5175

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

75 u = 69% 

75 u = 5175

1 u = 5175 ÷ 75 = 69

Amount that Luke gave to Roshel in May
= 100 u
= 100 x 69
= $6900

Amount that Roshel received less from Luke from April to May
= 7500 - 6900
= $600

Percentage that the sum given to Roshel was reduced by from April to May
= ⁶⁰⁰₇₅₀₀ x 100%
= 8%

Answer(s): 8%