A book store had 180 novels. There were Chinese, English and Malay novels in the ratio of 4 : 3 : 5. When the book store assistant brought in another 114 new novels, the number of Chinese novels was increased by 40% and the number of English novels was increased by
23.
- What was the number of Malay novels that the book store assistant brought in?
- What was the percentage increase in the number of Malay novels?
|
Chinese |
English |
Malay |
Total |
Before |
4 u |
3 u |
5 u |
180 |
Change |
+ 1.6 u |
+ 2 u |
+ ? |
+ 114 |
After |
5.6 u |
5 u |
9 u |
294 |
Increase in the number of Chinese novels
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Increase in the number of English novels
=
23 x 3 u
= 2 u
Total number of novels at first
= 4 u + 3 u + 5 u
= 12 u
12 u = 180
1 u = 180 ÷ 12 = 15
Increase in the number of Chinese and English novels
= 1.6 u + 2 u
= 3.6 u
= 3.6 x 15
= 54
Number of Malay novels brought in
= 114 - 54
= 60
(b)
Number of Malay novels at first
= 5 u
= 5 x 15
= 75
Percentage increase in Malay novels
=
6075 x 100%
= 80%
Answer(s): (a) 60; (b) 80%