Esther's and Yen's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's souvenir equally. Esther's remaining savings was ²₅ as much as Yen's savings. What percentage of her savings did Yen spend? Correct the answer to 1 decimal place.

	Esther	Yen	Difference
Before	4x3 = 12 u	9x3 = 27 u	5x3 = 15 u
Change	- 2 u	- 2 u
After	2x5 = 10 u	5x5 = 25 u	3x5 = 15 u

Since Esther and Yen shared the cost of their older sister's souvenir equally, the amount each paid for the souvenir is the same. 

So, the difference in the amounts between Esther and Yen at first and in the end remains the same.  Make the difference in the amounts between Esther and Yen at first and in the end the same. LCM of 5 and 3 is 15.

Amount that Yen spent on the souvenir
= 27 u - 25 u
= 2 u

Percentage of her savings that Yen spent
= ²₂₇ x 100%
≈ 7.4%

Answer(s): 7.4%