A store had 945 fiction books. There were English, Malay and Chinese fiction books in the ratio of 6 : 7 : 8. When the store assistant brought in another 468 new fiction books, the number of English fiction books was increased by 40% and the number of Malay fiction books was increased by
67.
- What was the number of Chinese fiction books that the store assistant brought in?
- What was the percentage increase in the number of Chinese fiction books?
|
English |
Malay |
Chinese |
Total |
Before |
6 u |
7 u |
8 u |
945 |
Change |
+ 2.4 u |
+ 6 u |
+ ? |
+ 468 |
After |
8.4 u |
13 u |
10 u |
1413 |
Increase in the number of English fiction books
= 40% x 6 u
=
40100 x 6 u
= 2.4 u
Increase in the number of Malay fiction books
=
67 x 7 u
= 6 u
Total number of fiction books at first
= 6 u + 7 u + 8 u
= 21 u
21 u = 945
1 u = 945 ÷ 21 = 45
Increase in the number of English and Malay fiction books
= 2.4 u + 6 u
= 8.4 u
= 8.4 x 45
= 378
Number of Chinese fiction books brought in
= 468 - 378
= 90
(b)
Number of Chinese fiction books at first
= 8 u
= 8 x 45
= 360
Percentage increase in Chinese fiction books
=
90360 x 100%
= 25%
Answer(s): (a) 90; (b) 25%