A shop had 560 comics. There were Malay, Chinese and English comics in the ratio of 7 : 2 : 5. When the shop assistant brought in another 256 new comics, the number of Malay comics was increased by 20% and the number of Chinese comics was increased by
12.
- What was the number of English comics that the shop assistant brought in?
- What was the percentage increase in the number of English comics?
|
Malay |
Chinese |
English |
Total |
Before |
7 u |
2 u |
5 u |
560 |
Change |
+ 1.4 u |
+ 1 u |
+ ? |
+ 256 |
After |
8.4 u |
3 u |
9 u |
816 |
Increase in the number of Malay comics
= 20% x 7 u
=
20100 x 7 u
= 1.4 u
Increase in the number of Chinese comics
=
12 x 2 u
= 1 u
Total number of comics at first
= 7 u + 2 u + 5 u
= 14 u
14 u = 560
1 u = 560 ÷ 14 = 40
Increase in the number of Malay and Chinese comics
= 1.4 u + 1 u
= 2.4 u
= 2.4 x 40
= 96
Number of English comics brought in
= 256 - 96
= 160
(b)
Number of English comics at first
= 5 u
= 5 x 40
= 200
Percentage increase in English comics
=
160200 x 100%
= 80%
Answer(s): (a) 160; (b) 80%