A shop had 1275 magazines. There were Chinese, English and Malay magazines in the ratio of 8 : 7 : 2. When the shop assistant brought in another 390 new magazines, the number of Chinese magazines was increased by 40% and the number of English magazines was increased by
17.
- 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 |
8 u |
7 u |
2 u |
1275 |
Change |
+ 3.2 u |
+ 1 u |
+ ? |
+ 390 |
After |
11.2 u |
8 u |
3 u |
1665 |
Increase in the number of Chinese magazines
= 40% x 8 u
=
40100 x 8 u
= 3.2 u
Increase in the number of English magazines
=
17 x 7 u
= 1 u
Total number of magazines at first
= 8 u + 7 u + 2 u
= 17 u
17 u = 1275
1 u = 1275 ÷ 17 = 75
Increase in the number of Chinese and English magazines
= 3.2 u + 1 u
= 4.2 u
= 4.2 x 75
= 315
Number of Malay magazines brought in
= 390 - 315
= 75
(b)
Number of Malay magazines at first
= 2 u
= 2 x 75
= 150
Percentage increase in Malay magazines
=
75150 x 100%
= 50%
Answer(s): (a) 75; (b) 50%