PSLEDiana had a collection of stamps from Brazil, India and Fiji. She had 160 stamps from Brazil. 40% of her stamps were from India. She had 40 fewer stamps from Fiji than from India.
- What was the total number of stamps in Diana's collection?
- Diana's aunt gave her some stamps from India. Her total collection increased by 20%. What percentage of her collection was from India after that?
(a)
Brazil |
India |
Fiji |
Total |
160 |
40% |
40% - 40 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 40 + 160
= 80% + 120
100% = 80% + 120
100% - 80% = 120
20% = 120
1% = 120 ÷ 20 = 6
Total number of stamps in Diana's collection
= 100%
= 100 x 6
= 600
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from India
= 40% + 20%
= 60%
Percentage of her collection from India
=
60120 x 100%
= 50%
Answer(s): (a) 600; (b) 50%