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

	Penelope	Sabrina	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 Penelope and Sabrina shared the cost of their mother's present equally, the amount each paid for the present is the same. 

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

Amount that Penelope spent on the present
= 12 u - 5 u
= 7 u

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

Answer(s): 58.3%