A shop had 665 fiction books. There were Chinese, English and Malay fiction books in the ratio of 8 : 7 : 4. When the shop assistant brought in another 343 new fiction books, the number of Chinese fiction books was increased by 60% and the number of English fiction books was increased by
37.
- What was the number of Malay fiction books that the shop assistant brought in?
- What was the percentage increase in the number of Malay fiction books?
|
Chinese |
English |
Malay |
Total |
Before |
8 u |
7 u |
4 u |
665 |
Change |
+ 4.8 u |
+ 3 u |
+ ? |
+ 343 |
After |
12.8 u |
10 u |
6 u |
1008 |
Increase in the number of Chinese fiction books
= 60% x 8 u
=
60100 x 8 u
= 4.8 u
Increase in the number of English fiction books
=
37 x 7 u
= 3 u
Total number of fiction books at first
= 8 u + 7 u + 4 u
= 19 u
19 u = 665
1 u = 665 ÷ 19 = 35
Increase in the number of Chinese and English fiction books
= 4.8 u + 3 u
= 7.8 u
= 7.8 x 35
= 273
Number of Malay fiction books brought in
= 343 - 273
= 70
(b)
Number of Malay fiction books at first
= 4 u
= 4 x 35
= 140
Percentage increase in Malay fiction books
=
70140 x 100%
= 50%
Answer(s): (a) 70; (b) 50%