A book shop had 880 novels. There were Malay, Chinese and English novels in the ratio of 3 : 8 : 5. When the book shop assistant brought in another 286 new novels, the number of Malay novels was increased by 40% and the number of Chinese novels was increased by
14.
- What was the number of English novels that the book shop assistant brought in?
- What was the percentage increase in the number of English novels?
|
Malay |
Chinese |
English |
Total |
Before |
3 u |
8 u |
5 u |
880 |
Change |
+ 1.2 u |
+ 2 u |
+ ? |
+ 286 |
After |
4.2 u |
10 u |
7 u |
1166 |
Increase in the number of Malay novels
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
Increase in the number of Chinese novels
=
14 x 8 u
= 2 u
Total number of novels at first
= 3 u + 8 u + 5 u
= 16 u
16 u = 880
1 u = 880 ÷ 16 = 55
Increase in the number of Malay and Chinese novels
= 1.2 u + 2 u
= 3.2 u
= 3.2 x 55
= 176
Number of English novels brought in
= 286 - 176
= 110
(b)
Number of English novels at first
= 5 u
= 5 x 55
= 275
Percentage increase in English novels
=
110275 x 100%
= 40%
Answer(s): (a) 110; (b) 40%