Harry had 20% more balls than Ken. Harry gave 25% of his balls to Ken. Ken in return gave 20% of his balls to Harry. In the end, Ken had 120 less balls than Harry. How many balls did Ken have in the end?
| |
Harry |
Ken |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 26% |
- 26% |
| After 2 |
116% |
104% |
Number of balls that Harry had at first in percent
= 100% + 20%
= 120%
Number of balls that Harry gave to Ken in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of balls that Ken gave to Harry in percent
= 20% x 130%
=
20100 x 130%
= 26%
Number of less balls that Ken had than Harry in the end
= 116% - 104%
= 12%
12% → 120
1% → 120 ÷ 12 = 10
Number of balls that Ken had in the end
= 104%
= 104 x 10
= 1200
Answer(s): 1200
