A store had 1400 fiction books. There were Malay, Chinese and English fiction books in the ratio of 7 : 5 : 8. When the store assistant brought in another 616 new fiction books, the number of Malay fiction books was increased by 40% and the number of Chinese fiction books was increased by
25.
- What was the number of English fiction books that the store assistant brought in?
- What was the percentage increase in the number of English fiction books?
|
Malay |
Chinese |
English |
Total |
Before |
7 u |
5 u |
8 u |
1400 |
Change |
+ 2.8 u |
+ 2 u |
+ ? |
+ 616 |
After |
9.8 u |
7 u |
12 u |
2016 |
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
=
25 x 5 u
= 2 u
Total number of fiction books at first
= 7 u + 5 u + 8 u
= 20 u
20 u = 1400
1 u = 1400 ÷ 20 = 70
Increase in the number of Malay and Chinese fiction books
= 2.8 u + 2 u
= 4.8 u
= 4.8 x 70
= 336
Number of English fiction books brought in
= 616 - 336
= 280
(b)
Number of English fiction books at first
= 8 u
= 8 x 70
= 560
Percentage increase in English fiction books
=
280560 x 100%
= 50%
Answer(s): (a) 280; (b) 50%