A book shop had 880 magazines. There were Malay, Chinese and English magazines in the ratio of 4 : 7 : 5. When the book shop assistant brought in another 583 new magazines, the number of Malay magazines was increased by 40% and the number of Chinese magazines was increased by
57.
- What was the number of English magazines that the book shop assistant brought in?
- What was the percentage increase in the number of English magazines?
|
Malay |
Chinese |
English |
Total |
Before |
4 u |
7 u |
5 u |
880 |
Change |
+ 1.6 u |
+ 5 u |
+ ? |
+ 583 |
After |
5.6 u |
12 u |
9 u |
1463 |
Increase in the number of Malay magazines
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Increase in the number of Chinese magazines
=
57 x 7 u
= 5 u
Total number of magazines at first
= 4 u + 7 u + 5 u
= 16 u
16 u = 880
1 u = 880 ÷ 16 = 55
Increase in the number of Malay and Chinese magazines
= 1.6 u + 5 u
= 6.6 u
= 6.6 x 55
= 363
Number of English magazines brought in
= 583 - 363
= 220
(b)
Number of English magazines at first
= 5 u
= 5 x 55
= 275
Percentage increase in English magazines
=
220275 x 100%
= 80%
Answer(s): (a) 220; (b) 80%