A shop had 520 magazines. There were English, Malay and Chinese magazines in the ratio of 1 : 3 : 4. When the shop assistant brought in another 143 new magazines, the number of English magazines was increased by 20% and the number of Malay magazines was increased by
13.
- What was the number of Chinese magazines that the shop assistant brought in?
- What was the percentage increase in the number of Chinese magazines?
|
English |
Malay |
Chinese |
Total |
Before |
1 u |
3 u |
4 u |
520 |
Change |
+ 0.2 u |
+ 1 u |
+ ? |
+ 143 |
After |
1.2 u |
4 u |
5 u |
663 |
Increase in the number of English magazines
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in the number of Malay magazines
=
13 x 3 u
= 1 u
Total number of magazines at first
= 1 u + 3 u + 4 u
= 8 u
8 u = 520
1 u = 520 ÷ 8 = 65
Increase in the number of English and Malay magazines
= 0.2 u + 1 u
= 1.2 u
= 1.2 x 65
= 78
Number of Chinese magazines brought in
= 143 - 78
= 65
(b)
Number of Chinese magazines at first
= 4 u
= 4 x 65
= 260
Percentage increase in Chinese magazines
=
65260 x 100%
= 25%
Answer(s): (a) 65; (b) 25%