PSLE Ian had purple files and pink files for sale. He sold 120 purple files. 60% of the files sold were pink.
- How many purple files and pink files did Ian sell altogether?
- He sold 50% of his files. 60% of the files left unsold were purple. How many pink files did Ian have at first?
| |
Purple |
Pink |
Total |
Total in percent |
| Before |
5 u |
5 u |
10 u |
100% |
| Change |
- 40%
- 2 u |
- 60%
- 3 u |
- 100%
- 5 u |
- 50% |
| After |
60%
3 u |
40%
2 u |
100%
5 u |
50%
|
60% =
60100 =
35 Total number of files sold = 5 u
Number of pink files sold = 3 u
Number of purple files sold
= 5 u - 3 u
= 2 u
2 u = 120
1 u = 120 ÷ 2 = 60
Total number of files sold
= 5 u
= 5 x 60
= 300
(b)
Percent of the files left unsold = 100% - 50% = 50% 50% of the files that were sold = 5 u 50% of the files that were left unsold = 5 u Percent of the files left unsold that were purple = 60%
Percent of the files left unsold that were pink = 100% - 60% = 40%
Number of the files left unsold that were pink
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of pink files that Ian had at first
= 2 u + 3 u
= 5 u
= 5 x 60
= 300
Answer(s): (a) 300; (b) 300
