Yen's and Nora's savings were in the ratio of 4 : 7. Both of them shared the cost of their older brother's souvenir equally. Yen's remaining savings was ¹₅ as much as Nora's savings. What percentage of her savings did Nora spend? Correct the answer to 1 decimal place.

	Yen	Nora	Difference
Before	4x4 = 16 u	7x4 = 28 u	3x4 = 12 u
Change	- 13 u	- 13 u
After	1x3 = 3 u	5x3 = 15 u	4x3 = 12 u

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

So, the difference in the amounts between Yen and Nora at first and in the end remains the same.  Make the difference in the amounts between Yen and Nora at first and in the end the same. LCM of 3 and 4 is 12.

Amount that Nora spent on the souvenir
= 28 u - 15 u
= 13 u

Percentage of her savings that Nora spent
= ¹³₂₈ x 100%
≈ 46.4%

Answer(s): 46.4%