Asher had 25% more beads than Rael. Asher gave 20% of his beads to Rael. Rael in return gave 20% of his beads to Asher. In the end, Rael had 275 less beads than Asher. How many beads did Rael have in the end?
| |
Asher |
Rael |
| Before |
125% |
100% |
| Change 1 |
- 25% |
+ 25% |
| After 1 |
100% |
125% |
| Change 2 |
+ 25% |
- 25% |
| After 2 |
125% |
100% |
Number of beads that Asher had at first in percent
= 100% + 25%
= 125%
Number of beads that Asher gave to Rael in percent
= 20% x 125%
=
20100 x 125%
= 25%
Number of beads that Rael gave to Asher in percent
= 20% x 125%
=
20100 x 125%
= 25%
Number of less beads that Rael had than Asher in the end
= 125% - 100%
= 25%
25% → 275
1% → 275 ÷ 25 = 11
Number of beads that Rael had in the end
= 100%
= 100 x 11
= 1375
Answer(s): 1375
