A store had 390 fiction books. There were Malay, Chinese and English fiction books in the ratio of 3 : 8 : 2. When the store assistant brought in another 108 new fiction books, the number of Malay fiction books was increased by 20% and the number of Chinese fiction books was increased by
14.
- 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 |
3 u |
8 u |
2 u |
390 |
Change |
+ 0.6 u |
+ 2 u |
+ ? |
+ 108 |
After |
3.6 u |
10 u |
3 u |
498 |
Increase in the number of Malay fiction books
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Increase in the number of Chinese fiction books
=
14 x 8 u
= 2 u
Total number of fiction books at first
= 3 u + 8 u + 2 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
Increase in the number of Malay and Chinese fiction books
= 0.6 u + 2 u
= 2.6 u
= 2.6 x 30
= 78
Number of English fiction books brought in
= 108 - 78
= 30
(b)
Number of English fiction books at first
= 2 u
= 2 x 30
= 60
Percentage increase in English fiction books
=
3060 x 100%
= 50%
Answer(s): (a) 30; (b) 50%