A book store had 120 novels. There were English, Malay and Chinese novels in the ratio of 3 : 5 : 4. When the book store assistant brought in another 56 new novels, the number of English novels was increased by 20% and the number of Malay novels was increased by
25.
- What was the number of Chinese novels that the book store assistant brought in?
- What was the percentage increase in the number of Chinese novels?
|
English |
Malay |
Chinese |
Total |
Before |
3 u |
5 u |
4 u |
120 |
Change |
+ 0.6 u |
+ 2 u |
+ ? |
+ 56 |
After |
3.6 u |
7 u |
7 u |
176 |
Increase in the number of English novels
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Increase in the number of Malay novels
=
25 x 5 u
= 2 u
Total number of novels at first
= 3 u + 5 u + 4 u
= 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Increase in the number of English and Malay novels
= 0.6 u + 2 u
= 2.6 u
= 2.6 x 10
= 26
Number of Chinese novels brought in
= 56 - 26
= 30
(b)
Number of Chinese novels at first
= 4 u
= 4 x 10
= 40
Percentage increase in Chinese novels
=
3040 x 100%
= 75%
Answer(s): (a) 30; (b) 75%