A store had 390 magazines. There were Chinese, English and Malay magazines in the ratio of 1 : 8 : 4. When the store assistant brought in another 216 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 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 |
390 |
Change |
+ 0.2 u |
+ 4 u |
+ ? |
+ 216 |
After |
1.2 u |
12 u |
7 u |
606 |
Increase in the number of Chinese magazines
= 20% x 1 u
=
20100 x 1 u
= 0.2 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 = 390
1 u = 390 ÷ 13 = 30
Increase in the number of Chinese and English magazines
= 0.2 u + 4 u
= 4.2 u
= 4.2 x 30
= 126
Number of Malay magazines brought in
= 216 - 126
= 90
(b)
Number of Malay magazines at first
= 4 u
= 4 x 30
= 120
Percentage increase in Malay magazines
=
90120 x 100%
= 75%
Answer(s): (a) 90; (b) 75%