A shop had 630 magazines. There were English, Malay and Chinese magazines in the ratio of 7 : 6 : 8. When the shop assistant brought in another 306 new magazines, the number of English magazines was increased by 60% and the number of Malay magazines was increased by
23.
- What was the number of Chinese magazines that the shop assistant brought in?
- What was the percentage increase in the number of Chinese magazines?
|
English |
Malay |
Chinese |
Total |
Before |
7 u |
6 u |
8 u |
630 |
Change |
+ 4.2 u |
+ 4 u |
+ ? |
+ 306 |
After |
11.2 u |
10 u |
10 u |
936 |
Increase in the number of English magazines
= 60% x 7 u
=
60100 x 7 u
= 4.2 u
Increase in the number of Malay magazines
=
23 x 6 u
= 4 u
Total number of magazines at first
= 7 u + 6 u + 8 u
= 21 u
21 u = 630
1 u = 630 ÷ 21 = 30
Increase in the number of English and Malay magazines
= 4.2 u + 4 u
= 8.2 u
= 8.2 x 30
= 246
Number of Chinese magazines brought in
= 306 - 246
= 60
(b)
Number of Chinese magazines at first
= 8 u
= 8 x 30
= 240
Percentage increase in Chinese magazines
=
60240 x 100%
= 25%
Answer(s): (a) 60; (b) 25%