A book store had 120 fiction books. There were English, Malay and Chinese fiction books in the ratio of 1 : 6 : 5. When the book store assistant brought in another 74 new fiction books, the number of English fiction books was increased by 40% 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 |
1 u |
6 u |
5 u |
120 |
Change |
+ 0.4 u |
+ 3 u |
+ ? |
+ 74 |
After |
1.4 u |
9 u |
9 u |
194 |
Increase in the number of English fiction books
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in the number of Malay fiction books
=
12 x 6 u
= 3 u
Total number of fiction books at first
= 1 u + 6 u + 5 u
= 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Increase in the number of English and Malay fiction books
= 0.4 u + 3 u
= 3.4 u
= 3.4 x 10
= 34
Number of Chinese fiction books brought in
= 74 - 34
= 40
(b)
Number of Chinese fiction books at first
= 5 u
= 5 x 10
= 50
Percentage increase in Chinese fiction books
=
4050 x 100%
= 80%
Answer(s): (a) 40; (b) 80%