PSLE Fabian had pink files and black files for sale. He sold 150 pink files. 40% of the files sold were black.
- How many pink files and black files did Fabian sell altogether?
- He sold 50% of his files. 70% of the files left unsold were pink. How many black files did Fabian have at first?
|
Pink |
Black |
Total |
Total in percent |
Before |
6.5 u |
3.5 u |
10 u |
100% |
Change |
- 60% - 3 u |
- 40% - 2 u |
- 100% - 5 u |
- 50% |
After |
70% 3.5 u |
30% 1.5 u |
100% 5 u |
50%
|
40% =
40100 =
25 Total number of files sold = 5 u
Number of black files sold = 2 u
Number of pink files sold
= 5 u - 2 u
= 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
Total number of files sold
= 5 u
= 5 x 50
= 250
(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 pink = 70%
Percent of the files left unsold that were black = 100% - 70% = 30%
Number of the files left unsold that were black
= 30% x 5 u
=
30100 x 5 u
= 1.5 u
Number of black files that Fabian had at first
= 1.5 u + 2 u
= 3.5 u
= 3.5 x 50
= 175
Answer(s): (a) 250; (b) 175