Mark had 20% more balls than Jack. Mark gave 10% of his balls to Jack. Jack in return gave 25% of his balls to Mark. In the end, Jack had 260 less balls than Mark. How many balls did Jack have in the end?
| |
Mark |
Jack |
| Before |
120% |
100% |
| Change 1 |
- 12% |
+ 12% |
| After 1 |
108% |
112% |
| Change 2 |
+ 28% |
- 28% |
| After 2 |
136% |
84% |
Number of balls that Mark had at first in percent
= 100% + 20%
= 120%
Number of balls that Mark gave to Jack in percent
= 10% x 120%
=
10100 x 120%
= 12%
Number of balls that Jack gave to Mark in percent
= 25% x 112%
=
25100 x 112%
= 28%
Number of less balls that Jack had than Mark in the end
= 136% - 84%
= 52%
52% → 260
1% → 260 ÷ 52 = 5
Number of balls that Jack had in the end
= 84%
= 84 x 5
= 600
Answer(s): 600
