Albert had 10% more beads than Perry. Albert gave 20% of his beads to Perry. Perry in return gave 50% of his beads to Albert. In the end, Perry had 792 less beads than Albert. How many beads did Perry have in the end?
| |
Albert |
Perry |
| Before |
110% |
100% |
| Change 1 |
- 22% |
+ 22% |
| After 1 |
88% |
122% |
| Change 2 |
+ 61% |
- 61% |
| After 2 |
149% |
61% |
Number of beads that Albert had at first in percent
= 100% + 10%
= 110%
Number of beads that Albert gave to Perry in percent
= 20% x 110%
=
20100 x 110%
= 22%
Number of beads that Perry gave to Albert in percent
= 50% x 122%
=
50100 x 122%
= 61%
Number of less beads that Perry had than Albert in the end
= 149% - 61%
= 88%
88% → 792
1% → 792 ÷ 88 = 9
Number of beads that Perry had in the end
= 61%
= 61 x 9
= 990
Answer(s): 990
