A book store had 480 magazines. There were Chinese, English and Malay magazines in the ratio of 3 : 8 : 5. When the book store assistant brought in another 156 new magazines, the number of Chinese magazines was increased by 40% and the number of English magazines was increased by
14.
- What was the number of Malay magazines that the book store assistant brought in?
- What was the percentage increase in the number of Malay magazines?
|
Chinese |
English |
Malay |
Total |
Before |
3 u |
8 u |
5 u |
480 |
Change |
+ 1.2 u |
+ 2 u |
+ ? |
+ 156 |
After |
4.2 u |
10 u |
7 u |
636 |
Increase in the number of Chinese magazines
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
Increase in the number of English magazines
=
14 x 8 u
= 2 u
Total number of magazines at first
= 3 u + 8 u + 5 u
= 16 u
16 u = 480
1 u = 480 ÷ 16 = 30
Increase in the number of Chinese and English magazines
= 1.2 u + 2 u
= 3.2 u
= 3.2 x 30
= 96
Number of Malay magazines brought in
= 156 - 96
= 60
(b)
Number of Malay magazines at first
= 5 u
= 5 x 30
= 150
Percentage increase in Malay magazines
=
60150 x 100%
= 40%
Answer(s): (a) 60; (b) 40%