In May, Henry gave his wife, Tina, $8000 for household expenditure. Tina spent 50% of the sum on rental, 10% on food and saved the rest. In June, Henry reduced the sum he gave to Tina. Tina 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 June. By what percentage was the sum given to Tina reduced by?

	Rental	Food	Savings	Total
Before	50%	10%	40%	$8000
Change		- 1%	- ?	- ?
After	50%	9%
Comparing the amounts spent in June	80 u		20 u	100 u

Amount that Henry saved in percent
= 100% - 50% - 10%
= 40%

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

Total amount that Henry spent on rental and food in percent
= 50% + 9%
= 59%

100% → 8000

1% → 8000 ÷ 100 = 80

59% → 59 x  80 = 4720

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

80 u = 59% 

80 u = 4720

1 u = 4720 ÷ 80 = 59

Amount that Henry gave to Tina in June
= 100 u
= 100 x 59
= $5900

Amount that Tina received less from Henry from May to June
= 8000 - 5900
= $2100

Percentage that the sum given to Tina was reduced by from May to June
= ²¹⁰⁰₈₀₀₀ x 100%
= 26.25%

Answer(s): 26.25%