Harry had 20% more marbles than Peter. Harry gave 25% of his marbles to Peter. Peter in return gave 30% of his marbles to Harry. In the end, Peter had 456 less marbles than Harry. How many marbles did Peter have in the end?
| |
Harry |
Peter |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 39% |
- 39% |
| After 2 |
129% |
91% |
Number of marbles that Harry had at first in percent
= 100% + 20%
= 120%
Number of marbles that Harry gave to Peter in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of marbles that Peter gave to Harry in percent
= 30% x 130%
=
30100 x 130%
= 39%
Number of less marbles that Peter had than Harry in the end
= 129% - 91%
= 38%
38% → 456
1% → 456 ÷ 38 = 12
Number of marbles that Peter had in the end
= 91%
= 91 x 12
= 1440
Answer(s): 1440
