A book shop had 660 novels. There were English, Malay and Chinese novels in the ratio of 1 : 3 : 8. When the book shop assistant brought in another 363 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 book shop assistant brought in?
- What was the percentage increase in the number of Chinese novels?
|
English |
Malay |
Chinese |
Total |
Before |
1 u |
3 u |
8 u |
660 |
Change |
+ 0.6 u |
+ 2 u |
+ ? |
+ 363 |
After |
1.6 u |
5 u |
12 u |
1023 |
Increase in the number of English novels
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Increase in the number of Malay novels
=
23 x 3 u
= 2 u
Total number of novels at first
= 1 u + 3 u + 8 u
= 12 u
12 u = 660
1 u = 660 ÷ 12 = 55
Increase in the number of English and Malay novels
= 0.6 u + 2 u
= 2.6 u
= 2.6 x 55
= 143
Number of Chinese novels brought in
= 363 - 143
= 220
(b)
Number of Chinese novels at first
= 8 u
= 8 x 55
= 440
Percentage increase in Chinese novels
=
220440 x 100%
= 50%
Answer(s): (a) 220; (b) 50%