Vaidev had 20% more balls than Simon. Vaidev gave 20% of his balls to Simon. Simon in return gave 50% of his balls to Vaidev. In the end, Simon had 192 less balls than Vaidev. How many balls did Vaidev have at first?
| |
Vaidev |
Simon |
| Before |
120% |
100% |
| Change 1 |
- 24% |
+ 24% |
| After 1 |
96% |
124% |
| Change 2 |
+ 62% |
- 62% |
| After 2 |
158% |
62% |
Number of balls that Vaidev had at first in percent
= 100% + 20%
= 120%
Number of balls that Vaidev gave to Simon in percent
= 20% x 120%
=
20100 x 120%
= 24%
Number of balls that Simon gave to Vaidev in percent
= 50% x 124%
=
50100 x 124%
= 62%
Number of less balls that Simon had than Vaidev in the end
= 158% - 62%
= 96%
96% → 192
1% → 192 ÷ 96 = 2
Number of balls that Vaidev had at first
= 120%
= 120 x 2
= 240
Answer(s): 240
