A book shop had 1200 fiction books. There were Chinese, English and Malay fiction books in the ratio of 3 : 4 : 8. When the book shop assistant brought in another 528 new fiction books, the number of Chinese fiction books was increased by 20% and the number of English fiction books was increased by
12.
- What was the number of Malay fiction books that the book shop assistant brought in?
- What was the percentage increase in the number of Malay fiction books?
|
Chinese |
English |
Malay |
Total |
Before |
3 u |
4 u |
8 u |
1200 |
Change |
+ 0.6 u |
+ 2 u |
+ ? |
+ 528 |
After |
3.6 u |
6 u |
12 u |
1728 |
Increase in the number of Chinese fiction books
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Increase in the number of English fiction books
=
12 x 4 u
= 2 u
Total number of fiction books at first
= 3 u + 4 u + 8 u
= 15 u
15 u = 1200
1 u = 1200 ÷ 15 = 80
Increase in the number of Chinese and English fiction books
= 0.6 u + 2 u
= 2.6 u
= 2.6 x 80
= 208
Number of Malay fiction books brought in
= 528 - 208
= 320
(b)
Number of Malay fiction books at first
= 8 u
= 8 x 80
= 640
Percentage increase in Malay fiction books
=
320640 x 100%
= 50%
Answer(s): (a) 320; (b) 50%