A book store had 715 magazines. There were Chinese, English and Malay magazines in the ratio of 1 : 8 : 4. When the book store assistant brought in another 297 new magazines, the number of Chinese magazines was increased by 40% and the number of English magazines was increased by
12.
- 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 |
1 u |
8 u |
4 u |
715 |
Change |
+ 0.4 u |
+ 4 u |
+ ? |
+ 297 |
After |
1.4 u |
12 u |
5 u |
1012 |
Increase in the number of Chinese magazines
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in the number of English magazines
=
12 x 8 u
= 4 u
Total number of magazines at first
= 1 u + 8 u + 4 u
= 13 u
13 u = 715
1 u = 715 ÷ 13 = 55
Increase in the number of Chinese and English magazines
= 0.4 u + 4 u
= 4.4 u
= 4.4 x 55
= 242
Number of Malay magazines brought in
= 297 - 242
= 55
(b)
Number of Malay magazines at first
= 4 u
= 4 x 55
= 220
Percentage increase in Malay magazines
=
55220 x 100%
= 25%
Answer(s): (a) 55; (b) 25%