A book store had 910 fiction books. There were Chinese, English and Malay fiction books in the ratio of 1 : 8 : 4. When the book store assistant brought in another 658 new fiction books, the number of Chinese fiction books was increased by 40% and the number of English fiction books was increased by
34.
- 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 |
1 u |
8 u |
4 u |
910 |
Change |
+ 0.4 u |
+ 6 u |
+ ? |
+ 658 |
After |
1.4 u |
14 u |
7 u |
1568 |
Increase in the number of Chinese fiction books
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in the number of English fiction books
=
34 x 8 u
= 6 u
Total number of fiction books at first
= 1 u + 8 u + 4 u
= 13 u
13 u = 910
1 u = 910 ÷ 13 = 70
Increase in the number of Chinese and English fiction books
= 0.4 u + 6 u
= 6.4 u
= 6.4 x 70
= 448
Number of Malay fiction books brought in
= 658 - 448
= 210
(b)
Number of Malay fiction books at first
= 4 u
= 4 x 70
= 280
Percentage increase in Malay fiction books
=
210280 x 100%
= 75%
Answer(s): (a) 210; (b) 75%