A book store had 990 fiction books. There were Malay, Chinese and English fiction books in the ratio of 7 : 6 : 5. When the book store assistant brought in another 484 new fiction books, the number of Malay fiction books was increased by 40% and the number of Chinese fiction books was increased by
23.
- What was the number of English fiction books that the book store assistant brought in?
- What was the percentage increase in the number of English fiction books?
|
Malay |
Chinese |
English |
Total |
Before |
7 u |
6 u |
5 u |
990 |
Change |
+ 2.8 u |
+ 4 u |
+ ? |
+ 484 |
After |
9.8 u |
10 u |
7 u |
1474 |
Increase in the number of Malay fiction books
= 40% x 7 u
=
40100 x 7 u
= 2.8 u
Increase in the number of Chinese fiction books
=
23 x 6 u
= 4 u
Total number of fiction books at first
= 7 u + 6 u + 5 u
= 18 u
18 u = 990
1 u = 990 ÷ 18 = 55
Increase in the number of Malay and Chinese fiction books
= 2.8 u + 4 u
= 6.8 u
= 6.8 x 55
= 374
Number of English fiction books brought in
= 484 - 374
= 110
(b)
Number of English fiction books at first
= 5 u
= 5 x 55
= 275
Percentage increase in English fiction books
=
110275 x 100%
= 40%
Answer(s): (a) 110; (b) 40%