A store had 980 fiction books. There were Malay, Chinese and English fiction books in the ratio of 3 : 6 : 5. When the store assistant brought in another 434 new fiction books, the number of Malay fiction books was increased by 40% and the number of Chinese fiction books was increased by
13.
- 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 |
6 u |
5 u |
980 |
Change |
+ 1.2 u |
+ 2 u |
+ ? |
+ 434 |
After |
4.2 u |
8 u |
8 u |
1414 |
Increase in the number of Malay fiction books
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
Increase in the number of Chinese fiction books
=
13 x 6 u
= 2 u
Total number of fiction books at first
= 3 u + 6 u + 5 u
= 14 u
14 u = 980
1 u = 980 ÷ 14 = 70
Increase in the number of Malay and Chinese fiction books
= 1.2 u + 2 u
= 3.2 u
= 3.2 x 70
= 224
Number of English fiction books brought in
= 434 - 224
= 210
(b)
Number of English fiction books at first
= 5 u
= 5 x 70
= 350
Percentage increase in English fiction books
=
210350 x 100%
= 60%
Answer(s): (a) 210; (b) 60%