A store had 600 novels. There were English, Malay and Chinese novels in the ratio of 8 : 7 : 5. When the store assistant brought in another 294 new novels, the number of English novels was increased by 60% and the number of Malay novels was increased by
27.
- 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 |
8 u |
7 u |
5 u |
600 |
Change |
+ 4.8 u |
+ 2 u |
+ ? |
+ 294 |
After |
12.8 u |
9 u |
8 u |
894 |
Increase in the number of English novels
= 60% x 8 u
=
60100 x 8 u
= 4.8 u
Increase in the number of Malay novels
=
27 x 7 u
= 2 u
Total number of novels at first
= 8 u + 7 u + 5 u
= 20 u
20 u = 600
1 u = 600 ÷ 20 = 30
Increase in the number of English and Malay novels
= 4.8 u + 2 u
= 6.8 u
= 6.8 x 30
= 204
Number of Chinese novels brought in
= 294 - 204
= 90
(b)
Number of Chinese novels at first
= 5 u
= 5 x 30
= 150
Percentage increase in Chinese novels
=
90150 x 100%
= 60%
Answer(s): (a) 90; (b) 60%