A book store had 160 comics. There were English, Malay and Chinese comics in the ratio of 3 : 8 : 5. When the book store assistant brought in another 66 new comics, the number of English comics was increased by 20% and the number of Malay comics was increased by
14.
- What was the number of Chinese comics that the book store assistant brought in?
- What was the percentage increase in the number of Chinese comics?
|
English |
Malay |
Chinese |
Total |
Before |
3 u |
8 u |
5 u |
160 |
Change |
+ 0.6 u |
+ 2 u |
+ ? |
+ 66 |
After |
3.6 u |
10 u |
9 u |
226 |
Increase in the number of English comics
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Increase in the number of Malay comics
=
14 x 8 u
= 2 u
Total number of comics at first
= 3 u + 8 u + 5 u
= 16 u
16 u = 160
1 u = 160 ÷ 16 = 10
Increase in the number of English and Malay comics
= 0.6 u + 2 u
= 2.6 u
= 2.6 x 10
= 26
Number of Chinese comics brought in
= 66 - 26
= 40
(b)
Number of Chinese comics at first
= 5 u
= 5 x 10
= 50
Percentage increase in Chinese comics
=
4050 x 100%
= 80%
Answer(s): (a) 40; (b) 80%