A shop had 675 comics. There were English, Malay and Chinese comics in the ratio of 1 : 6 : 8. When the shop assistant brought in another 279 new comics, the number of English comics was increased by 20% and the number of Malay comics was increased by
23.
- What was the number of Chinese comics that the shop assistant brought in?
- What was the percentage increase in the number of Chinese comics?
|
English |
Malay |
Chinese |
Total |
Before |
1 u |
6 u |
8 u |
675 |
Change |
+ 0.2 u |
+ 4 u |
+ ? |
+ 279 |
After |
1.2 u |
10 u |
10 u |
954 |
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
=
23 x 6 u
= 4 u
Total number of comics at first
= 1 u + 6 u + 8 u
= 15 u
15 u = 675
1 u = 675 ÷ 15 = 45
Increase in the number of English and Malay comics
= 0.2 u + 4 u
= 4.2 u
= 4.2 x 45
= 189
Number of Chinese comics brought in
= 279 - 189
= 90
(b)
Number of Chinese comics at first
= 8 u
= 8 x 45
= 360
Percentage increase in Chinese comics
=
90360 x 100%
= 25%
Answer(s): (a) 90; (b) 25%