Roshel's and Usha's savings were in the ratio of 4 : 7. Both of them shared the cost of their grandmother's souvenir equally. Roshel's remaining savings was
15 as much as Usha's savings. What percentage of her savings did Usha spend? Correct the answer to 1 decimal place.
|
Roshel |
Usha |
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 Roshel and Usha 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 Roshel and Usha at first and in the end remains the same. Make the difference in the amounts between Roshel and Usha at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Usha spent on the souvenir
= 28 u - 15 u
= 13 u
Percentage of her savings that Usha spent
=
1328 x 100%
≈ 46.4%
Answer(s): 46.4%