A shop had 1190 magazines. There were Chinese, English and Malay magazines in the ratio of 4 : 8 : 5. When the shop assistant brought in another 588 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 |
4 u |
8 u |
5 u |
1190 |
Change |
+ 2.4 u |
+ 4 u |
+ ? |
+ 588 |
After |
6.4 u |
12 u |
7 u |
1778 |
Increase in the number of Chinese magazines
= 60% x 4 u
=
60100 x 4 u
= 2.4 u
Increase in the number of English magazines
=
12 x 8 u
= 4 u
Total number of magazines at first
= 4 u + 8 u + 5 u
= 17 u
17 u = 1190
1 u = 1190 ÷ 17 = 70
Increase in the number of Chinese and English magazines
= 2.4 u + 4 u
= 6.4 u
= 6.4 x 70
= 448
Number of Malay magazines brought in
= 588 - 448
= 140
(b)
Number of Malay magazines at first
= 5 u
= 5 x 70
= 350
Percentage increase in Malay magazines
=
140350 x 100%
= 40%
Answer(s): (a) 140; (b) 40%