Diana's and Betty's savings were in the ratio of 4 : 9. Both of them shared the cost of their cousin's souvenir equally. Diana's remaining savings was ¹₄ as much as Betty's savings. What percentage of her savings did Diana spend? Correct the answer to 1 decimal place.

	Diana	Betty	Difference
Before	4x3 = 12 u	9x3 = 27 u	5x3 = 15 u
Change	- 7 u	- 7 u
After	1x5 = 5 u	4x5 = 20 u	3x5 = 15 u

Since Diana and Betty shared the cost of their cousin's souvenir equally, the amount each paid for the souvenir is the same. 

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

Amount that Diana spent on the souvenir
= 12 u - 5 u
= 7 u

Percentage of her savings that Diana spent
= ⁷₁₂ x 100%
≈ 58.3%

Answer(s): 58.3%