Hilda's and Zara's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's gift equally. Hilda's remaining savings was
25 as much as Zara's savings. What percentage of her savings did Zara spend? Correct the answer to 1 decimal place.
|
Hilda |
Zara |
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 Hilda and Zara shared the cost of their older sister's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Hilda and Zara at first and in the end remains the same. Make the difference in the amounts between Hilda and Zara at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Zara spent on the gift
= 27 u - 25 u
= 2 u
Percentage of her savings that Zara spent
=
227 x 100%
≈ 7.4%
Answer(s): 7.4%