Vaidev had 50% more beads than Tommy. Vaidev gave 20% of his beads to Tommy. Tommy in return gave 20% of his beads to Vaidev. In the end, Tommy had 336 less beads than Vaidev. How many beads did Vaidev have at first?
| |
Vaidev |
Tommy |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 26% |
- 26% |
| After 2 |
146% |
104% |
Number of beads that Vaidev had at first in percent
= 100% + 50%
= 150%
Number of beads that Vaidev gave to Tommy in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of beads that Tommy gave to Vaidev in percent
= 20% x 130%
=
20100 x 130%
= 26%
Number of less beads that Tommy had than Vaidev in the end
= 146% - 104%
= 42%
42% → 336
1% → 336 ÷ 42 = 8
Number of beads that Vaidev had at first
= 150%
= 150 x 8
= 1200
Answer(s): 1200
