In August, Valen gave his wife, Jean, $10000 for household expenditure. Jean spent 50% of the sum on rental, 10% on food and saved the rest. In September, Valen reduced the sum he gave to Jean. Jean spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 25% of the sum given to her in September. By what percentage was the sum given to Jean reduced by?

	Rental	Food	Savings	Total
Before	50%	10%	40%	$10000
Change		- 3%	- ?	- ?
After	50%	7%
Comparing the amounts spent in September	75 u		25 u	100 u

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

Amount that Valen reduced on food in percent
= 30% x 10%
= ³⁰₁₀₀ x 10
= 3%

Total amount that Valen spent on rental and food in percent
= 50% + 7%
= 57%

100% → 10000

1% → 10000 ÷ 100 = 100

57% → 57 x  100 = 5700

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

75 u = 57% 

75 u = 5700

1 u = 5700 ÷ 75 = 76

Amount that Valen gave to Jean in September
= 100 u
= 100 x 76
= $7600

Amount that Jean received less from Valen from August to September
= 10000 - 7600
= $2400

Percentage that the sum given to Jean was reduced by from August to September
= ²⁴⁰⁰₁₀₀₀₀ x 100%
= 24%

Answer(s): 24%