A book store had 780 fiction books. There were Malay, Chinese and English fiction books in the ratio of 6 : 3 : 4. When the book store assistant brought in another 516 new fiction books, the number of Malay fiction books was increased by 60% and the number of Chinese fiction books was increased by
23.
- What was the number of English fiction books that the book store assistant brought in?
- What was the percentage increase in the number of English fiction books?
|
Malay |
Chinese |
English |
Total |
Before |
6 u |
3 u |
4 u |
780 |
Change |
+ 3.6 u |
+ 2 u |
+ ? |
+ 516 |
After |
9.6 u |
5 u |
7 u |
1296 |
Increase in the number of Malay fiction books
= 60% x 6 u
=
60100 x 6 u
= 3.6 u
Increase in the number of Chinese fiction books
=
23 x 3 u
= 2 u
Total number of fiction books at first
= 6 u + 3 u + 4 u
= 13 u
13 u = 780
1 u = 780 ÷ 13 = 60
Increase in the number of Malay and Chinese fiction books
= 3.6 u + 2 u
= 5.6 u
= 5.6 x 60
= 336
Number of English fiction books brought in
= 516 - 336
= 180
(b)
Number of English fiction books at first
= 4 u
= 4 x 60
= 240
Percentage increase in English fiction books
=
180240 x 100%
= 75%
Answer(s): (a) 180; (b) 75%