A shop had 260 magazines. There were Chinese, English and Malay magazines in the ratio of 2 : 6 : 5. When the shop assistant brought in another 168 new magazines, the number of Chinese magazines was increased by 20% and the number of English magazines was increased by
56.
- 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 |
2 u |
6 u |
5 u |
260 |
Change |
+ 0.4 u |
+ 5 u |
+ ? |
+ 168 |
After |
2.4 u |
11 u |
8 u |
428 |
Increase in the number of Chinese magazines
= 20% x 2 u
=
20100 x 2 u
= 0.4 u
Increase in the number of English magazines
=
56 x 6 u
= 5 u
Total number of magazines at first
= 2 u + 6 u + 5 u
= 13 u
13 u = 260
1 u = 260 ÷ 13 = 20
Increase in the number of Chinese and English magazines
= 0.4 u + 5 u
= 5.4 u
= 5.4 x 20
= 108
Number of Malay magazines brought in
= 168 - 108
= 60
(b)
Number of Malay magazines at first
= 5 u
= 5 x 20
= 100
Percentage increase in Malay magazines
=
60100 x 100%
= 60%
Answer(s): (a) 60; (b) 60%