A book store had 315 fiction books. There were Chinese, English and Malay fiction books in the ratio of 7 : 6 : 8. When the book store assistant brought in another 126 new fiction books, the number of Chinese fiction books was increased by 20% and the number of English fiction books was increased by
12.
- What was the number of Malay fiction books that the book store assistant brought in?
- What was the percentage increase in the number of Malay fiction books?
|
Chinese |
English |
Malay |
Total |
Before |
7 u |
6 u |
8 u |
315 |
Change |
+ 1.4 u |
+ 3 u |
+ ? |
+ 126 |
After |
8.4 u |
9 u |
12 u |
441 |
Increase in the number of Chinese fiction books
= 20% x 7 u
=
20100 x 7 u
= 1.4 u
Increase in the number of English fiction books
=
12 x 6 u
= 3 u
Total number of fiction books at first
= 7 u + 6 u + 8 u
= 21 u
21 u = 315
1 u = 315 ÷ 21 = 15
Increase in the number of Chinese and English fiction books
= 1.4 u + 3 u
= 4.4 u
= 4.4 x 15
= 66
Number of Malay fiction books brought in
= 126 - 66
= 60
(b)
Number of Malay fiction books at first
= 8 u
= 8 x 15
= 120
Percentage increase in Malay fiction books
=
60120 x 100%
= 50%
Answer(s): (a) 60; (b) 50%