Riordan had 25% more marbles than Nick. Riordan gave 20% of his marbles to Nick. Nick in return gave 40% of his marbles to Riordan. In the end, Nick had 525 less marbles than Riordan. How many marbles did Nick have in the end?
| |
Riordan |
Nick |
| Before |
125% |
100% |
| Change 1 |
- 25% |
+ 25% |
| After 1 |
100% |
125% |
| Change 2 |
+ 50% |
- 50% |
| After 2 |
150% |
75% |
Number of marbles that Riordan had at first in percent
= 100% + 25%
= 125%
Number of marbles that Riordan gave to Nick in percent
= 20% x 125%
=
20100 x 125%
= 25%
Number of marbles that Nick gave to Riordan in percent
= 40% x 125%
=
40100 x 125%
= 50%
Number of less marbles that Nick had than Riordan in the end
= 150% - 75%
= 75%
75% → 525
1% → 525 ÷ 75 = 7
Number of marbles that Nick had in the end
= 75%
= 75 x 7
= 875
Answer(s): 875
