A book store had 400 fiction books. There were English, Malay and Chinese fiction books in the ratio of 7 : 4 : 5. When the book store assistant brought in another 110 new fiction books, the number of English fiction books was increased by 20% and the number of Malay fiction books was increased by
12.
- 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 |
4 u |
5 u |
400 |
Change |
+ 1.4 u |
+ 2 u |
+ ? |
+ 110 |
After |
8.4 u |
6 u |
6 u |
510 |
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
=
12 x 4 u
= 2 u
Total number of fiction books at first
= 7 u + 4 u + 5 u
= 16 u
16 u = 400
1 u = 400 ÷ 16 = 25
Increase in the number of English and Malay fiction books
= 1.4 u + 2 u
= 3.4 u
= 3.4 x 25
= 85
Number of Chinese fiction books brought in
= 110 - 85
= 25
(b)
Number of Chinese fiction books at first
= 5 u
= 5 x 25
= 125
Percentage increase in Chinese fiction books
=
25125 x 100%
= 20%
Answer(s): (a) 25; (b) 20%