A store had 980 novels. There were English, Malay and Chinese novels in the ratio of 3 : 6 : 5. When the store assistant brought in another 546 new novels, the number of English novels was increased by 60% and the number of Malay novels was increased by
23.
- What was the number of Chinese novels that the store assistant brought in?
- What was the percentage increase in the number of Chinese novels?
|
English |
Malay |
Chinese |
Total |
Before |
3 u |
6 u |
5 u |
980 |
Change |
+ 1.8 u |
+ 4 u |
+ ? |
+ 546 |
After |
4.8 u |
10 u |
7 u |
1526 |
Increase in the number of English novels
= 60% x 3 u
=
60100 x 3 u
= 1.8 u
Increase in the number of Malay novels
=
23 x 6 u
= 4 u
Total number of novels at first
= 3 u + 6 u + 5 u
= 14 u
14 u = 980
1 u = 980 ÷ 14 = 70
Increase in the number of English and Malay novels
= 1.8 u + 4 u
= 5.8 u
= 5.8 x 70
= 406
Number of Chinese novels brought in
= 546 - 406
= 140
(b)
Number of Chinese novels at first
= 5 u
= 5 x 70
= 350
Percentage increase in Chinese novels
=
140350 x 100%
= 40%
Answer(s): (a) 140; (b) 40%