A book shop had 1040 magazines. There were Chinese, English and Malay magazines in the ratio of 3 : 8 : 2. When the book shop assistant brought in another 448 new magazines, the number of Chinese magazines was increased by 20% and the number of English magazines was increased by
12.
- What was the number of Malay magazines that the book shop assistant brought in?
- What was the percentage increase in the number of Malay magazines?
|
Chinese |
English |
Malay |
Total |
Before |
3 u |
8 u |
2 u |
1040 |
Change |
+ 0.6 u |
+ 4 u |
+ ? |
+ 448 |
After |
3.6 u |
12 u |
3 u |
1488 |
Increase in the number of Chinese magazines
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Increase in the number of English magazines
=
12 x 8 u
= 4 u
Total number of magazines at first
= 3 u + 8 u + 2 u
= 13 u
13 u = 1040
1 u = 1040 ÷ 13 = 80
Increase in the number of Chinese and English magazines
= 0.6 u + 4 u
= 4.6 u
= 4.6 x 80
= 368
Number of Malay magazines brought in
= 448 - 368
= 80
(b)
Number of Malay magazines at first
= 2 u
= 2 x 80
= 160
Percentage increase in Malay magazines
=
80160 x 100%
= 50%
Answer(s): (a) 80; (b) 50%