A book store had 540 fiction books. There were English, Malay and Chinese fiction books in the ratio of 7 : 3 : 2. When the book store assistant brought in another 198 new fiction books, the number of English fiction books was increased by 20% and the number of Malay fiction books was increased by
23.
- What was the number of Chinese fiction books that the book store assistant brought in?
- What was the percentage increase in the number of Chinese fiction books?
|
English |
Malay |
Chinese |
Total |
Before |
7 u |
3 u |
2 u |
540 |
Change |
+ 1.4 u |
+ 2 u |
+ ? |
+ 198 |
After |
8.4 u |
5 u |
3 u |
738 |
Increase in the number of English fiction books
= 20% x 7 u
=
20100 x 7 u
= 1.4 u
Increase in the number of Malay fiction books
=
23 x 3 u
= 2 u
Total number of fiction books at first
= 7 u + 3 u + 2 u
= 12 u
12 u = 540
1 u = 540 ÷ 12 = 45
Increase in the number of English and Malay fiction books
= 1.4 u + 2 u
= 3.4 u
= 3.4 x 45
= 153
Number of Chinese fiction books brought in
= 198 - 153
= 45
(b)
Number of Chinese fiction books at first
= 2 u
= 2 x 45
= 90
Percentage increase in Chinese fiction books
=
4590 x 100%
= 50%
Answer(s): (a) 45; (b) 50%