A store had 980 comics. There were English, Malay and Chinese comics in the ratio of 1 : 5 : 8. When the store assistant brought in another 574 new comics, the number of English comics was increased by 20% and the number of Malay comics was increased by
45.
- 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 |
1 u |
5 u |
8 u |
980 |
Change |
+ 0.2 u |
+ 4 u |
+ ? |
+ 574 |
After |
1.2 u |
9 u |
12 u |
1554 |
Increase in the number of English comics
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in the number of Malay comics
=
45 x 5 u
= 4 u
Total number of comics at first
= 1 u + 5 u + 8 u
= 14 u
14 u = 980
1 u = 980 ÷ 14 = 70
Increase in the number of English and Malay comics
= 0.2 u + 4 u
= 4.2 u
= 4.2 x 70
= 294
Number of Chinese comics brought in
= 574 - 294
= 280
(b)
Number of Chinese comics at first
= 8 u
= 8 x 70
= 560
Percentage increase in Chinese comics
=
280560 x 100%
= 50%
Answer(s): (a) 280; (b) 50%