PSLE John had purple files and yellow files for sale. He sold 180 purple files. 60% of the files sold were yellow.
- How many purple files and yellow files did John sell altogether?
- He sold 50% of his files. 75% of the files left unsold were purple. How many yellow files did John have at first?
| |
Purple |
Yellow |
Total |
Total in percent |
| Before |
5.75 u |
4.25 u |
10 u |
100% |
| Change |
- 40%
- 2 u |
- 60%
- 3 u |
- 100%
- 5 u |
- 50% |
| After |
75%
3.75 u |
25%
1.25 u |
100%
5 u |
50%
|
60% =
60100 =
35 Total number of files sold = 5 u
Number of yellow files sold = 3 u
Number of purple files sold
= 5 u - 3 u
= 2 u
2 u = 180
1 u = 180 ÷ 2 = 90
Total number of files sold
= 5 u
= 5 x 90
= 450
(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 = 75%
Percent of the files left unsold that were yellow = 100% - 75% = 25%
Number of the files left unsold that were yellow
= 25% x 5 u
=
25100 x 5 u
= 1.25 u
Number of yellow files that John had at first
= 1.25 u + 3 u
= 4.25 u
= 4.25 x 90
= 382.5
Answer(s): (a) 450; (b) 382.5
