A book shop had 1105 comics. There were English, Malay and Chinese comics in the ratio of 4 : 7 : 6. When the book shop assistant brought in another 689 new comics, the number of English comics was increased by 40% and the number of Malay comics was increased by
67.
- What was the number of Chinese comics that the book shop assistant brought in?
- What was the percentage increase in the number of Chinese comics?
|
English |
Malay |
Chinese |
Total |
Before |
4 u |
7 u |
6 u |
1105 |
Change |
+ 1.6 u |
+ 6 u |
+ ? |
+ 689 |
After |
5.6 u |
13 u |
9 u |
1794 |
Increase in the number of English comics
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Increase in the number of Malay comics
=
67 x 7 u
= 6 u
Total number of comics at first
= 4 u + 7 u + 6 u
= 17 u
17 u = 1105
1 u = 1105 ÷ 17 = 65
Increase in the number of English and Malay comics
= 1.6 u + 6 u
= 7.6 u
= 7.6 x 65
= 494
Number of Chinese comics brought in
= 689 - 494
= 195
(b)
Number of Chinese comics at first
= 6 u
= 6 x 65
= 390
Percentage increase in Chinese comics
=
195390 x 100%
= 50%
Answer(s): (a) 195; (b) 50%