A book shop had 910 comics. There were Chinese, English and Malay comics in the ratio of 3 : 6 : 4. When the book shop assistant brought in another 406 new comics, the number of Chinese comics was increased by 60% and the number of English comics was increased by
13.
- What was the number of Malay comics that the book shop assistant brought in?
- What was the percentage increase in the number of Malay comics?
|
Chinese |
English |
Malay |
Total |
Before |
3 u |
6 u |
4 u |
910 |
Change |
+ 1.8 u |
+ 2 u |
+ ? |
+ 406 |
After |
4.8 u |
8 u |
6 u |
1316 |
Increase in the number of Chinese comics
= 60% x 3 u
=
60100 x 3 u
= 1.8 u
Increase in the number of English comics
=
13 x 6 u
= 2 u
Total number of comics at first
= 3 u + 6 u + 4 u
= 13 u
13 u = 910
1 u = 910 ÷ 13 = 70
Increase in the number of Chinese and English comics
= 1.8 u + 2 u
= 3.8 u
= 3.8 x 70
= 266
Number of Malay comics brought in
= 406 - 266
= 140
(b)
Number of Malay comics at first
= 4 u
= 4 x 70
= 280
Percentage increase in Malay comics
=
140280 x 100%
= 50%
Answer(s): (a) 140; (b) 50%