A shop had 300 magazines. There were Chinese, English and Malay magazines in the ratio of 7 : 2 : 6. When the shop assistant brought in another 164 new magazines, the number of Chinese magazines was increased by 60% and the number of English magazines was increased by
12.
- What was the number of Malay magazines that the shop assistant brought in?
- What was the percentage increase in the number of Malay magazines?
|
Chinese |
English |
Malay |
Total |
Before |
7 u |
2 u |
6 u |
300 |
Change |
+ 4.2 u |
+ 1 u |
+ ? |
+ 164 |
After |
11.2 u |
3 u |
9 u |
464 |
Increase in the number of Chinese magazines
= 60% x 7 u
=
60100 x 7 u
= 4.2 u
Increase in the number of English magazines
=
12 x 2 u
= 1 u
Total number of magazines at first
= 7 u + 2 u + 6 u
= 15 u
15 u = 300
1 u = 300 ÷ 15 = 20
Increase in the number of Chinese and English magazines
= 4.2 u + 1 u
= 5.2 u
= 5.2 x 20
= 104
Number of Malay magazines brought in
= 164 - 104
= 60
(b)
Number of Malay magazines at first
= 6 u
= 6 x 20
= 120
Percentage increase in Malay magazines
=
60120 x 100%
= 50%
Answer(s): (a) 60; (b) 50%