PSLE Riordan had gold files and green files for sale. He sold 300 gold files. 70% of the files sold were green.
- How many gold files and green files did Riordan sell altogether?
- He sold 50% of his files. 75% of the files left unsold were gold. How many green files did Riordan have at first?
|
Gold |
Green |
Total |
Total in percent |
Before |
10.5 u |
9.5 u |
20 u |
100% |
Change |
- 30% - 3 u |
- 70% - 7 u |
- 100% - 10 u |
- 50% |
After |
75% 7.5 u |
25% 2.5 u |
100% 10 u |
50%
|
70% =
70100 =
710 Total number of files sold = 10 u
Number of green files sold = 7 u
Number of gold files sold
= 10 u - 7 u
= 3 u
3 u = 300
1 u = 300 ÷ 3 = 100
Total number of files sold
= 10 u
= 10 x 100
= 1000
(b)
Percent of the files left unsold = 100% - 50% = 50% 50% of the files that were sold = 10 u 50% of the files that were left unsold = 10 u Percent of the files left unsold that were gold = 75%
Percent of the files left unsold that were green = 100% - 75% = 25%
Number of the files left unsold that were green
= 25% x 10 u
=
25100 x 10 u
= 2.5 u
Number of green files that Riordan had at first
= 2.5 u + 7 u
= 9.5 u
= 9.5 x 100
= 950
Answer(s): (a) 1000; (b) 950