A store had 315 comics. There were English, Malay and Chinese comics in the ratio of 2 : 3 : 4. When the store assistant brought in another 112 new comics, the number of English comics was increased by 60% and the number of Malay comics was increased by
13.
- What was the number of Chinese comics that the store assistant brought in?
- What was the percentage increase in the number of Chinese comics?
|
English |
Malay |
Chinese |
Total |
Before |
2 u |
3 u |
4 u |
315 |
Change |
+ 1.2 u |
+ 1 u |
+ ? |
+ 112 |
After |
3.2 u |
4 u |
5 u |
427 |
Increase in the number of English comics
= 60% x 2 u
=
60100 x 2 u
= 1.2 u
Increase in the number of Malay comics
=
13 x 3 u
= 1 u
Total number of comics at first
= 2 u + 3 u + 4 u
= 9 u
9 u = 315
1 u = 315 ÷ 9 = 35
Increase in the number of English and Malay comics
= 1.2 u + 1 u
= 2.2 u
= 2.2 x 35
= 77
Number of Chinese comics brought in
= 112 - 77
= 35
(b)
Number of Chinese comics at first
= 4 u
= 4 x 35
= 140
Percentage increase in Chinese comics
=
35140 x 100%
= 25%
Answer(s): (a) 35; (b) 25%