A shop had 765 comics. There were Chinese, English and Malay comics in the ratio of 3 : 6 : 8. When the shop assistant brought in another 432 new comics, the number of Chinese comics was increased by 20% and the number of English comics was increased by
12.
- What was the number of Malay comics that the shop assistant brought in?
- What was the percentage increase in the number of Malay comics?
|
Chinese |
English |
Malay |
Total |
Before |
3 u |
6 u |
8 u |
765 |
Change |
+ 0.6 u |
+ 3 u |
+ ? |
+ 432 |
After |
3.6 u |
9 u |
14 u |
1197 |
Increase in the number of Chinese comics
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Increase in the number of English comics
=
12 x 6 u
= 3 u
Total number of comics at first
= 3 u + 6 u + 8 u
= 17 u
17 u = 765
1 u = 765 ÷ 17 = 45
Increase in the number of Chinese and English comics
= 0.6 u + 3 u
= 3.6 u
= 3.6 x 45
= 162
Number of Malay comics brought in
= 432 - 162
= 270
(b)
Number of Malay comics at first
= 8 u
= 8 x 45
= 360
Percentage increase in Malay comics
=
270360 x 100%
= 75%
Answer(s): (a) 270; (b) 75%