Usha's and Jane's savings were in the ratio of 4 : 7. Both of them shared the cost of their grandmother's souvenir equally. Usha's remaining savings was
13 as much as Jane's savings. What percentage of her savings did Jane spend? Correct the answer to 1 decimal place.
|
Usha |
Jane |
Difference |
Before |
4x2 = 8 u |
7x2 = 14 u |
3x2 = 6 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
3x3 = 9 u |
2x3 = 6 u |
Since Usha and Jane shared the cost of their grandmother's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Usha and Jane at first and in the end remains the same. Make the difference in the amounts between Usha and Jane at first and in the end the same. LCM of 3 and 2 is 6.
Amount that Jane spent on the souvenir
= 14 u - 9 u
= 5 u
Percentage of her savings that Jane spent
=
514 x 100%
≈ 35.7%
Answer(s): 35.7%