A book store had 1120 fiction books. There were Chinese, English and Malay fiction books in the ratio of 7 : 5 : 4. When the book store assistant brought in another 644 new fiction books, the number of Chinese fiction books was increased by 60% and the number of English fiction books was increased by
35.
- What was the number of Malay fiction books that the book store assistant brought in?
- What was the percentage increase in the number of Malay fiction books?
|
Chinese |
English |
Malay |
Total |
Before |
7 u |
5 u |
4 u |
1120 |
Change |
+ 4.2 u |
+ 3 u |
+ ? |
+ 644 |
After |
11.2 u |
8 u |
6 u |
1764 |
Increase in the number of Chinese fiction books
= 60% x 7 u
=
60100 x 7 u
= 4.2 u
Increase in the number of English fiction books
=
35 x 5 u
= 3 u
Total number of fiction books at first
= 7 u + 5 u + 4 u
= 16 u
16 u = 1120
1 u = 1120 ÷ 16 = 70
Increase in the number of Chinese and English fiction books
= 4.2 u + 3 u
= 7.2 u
= 7.2 x 70
= 504
Number of Malay fiction books brought in
= 644 - 504
= 140
(b)
Number of Malay fiction books at first
= 4 u
= 4 x 70
= 280
Percentage increase in Malay fiction books
=
140280 x 100%
= 50%
Answer(s): (a) 140; (b) 50%