A shop had 560 novels. There were Chinese, English and Malay novels in the ratio of 7 : 3 : 4. When the shop assistant brought in another 176 new novels, the number of Chinese novels was increased by 20% and the number of English novels was increased by
23.
- What was the number of Malay novels that the shop assistant brought in?
- What was the percentage increase in the number of Malay novels?
|
Chinese |
English |
Malay |
Total |
Before |
7 u |
3 u |
4 u |
560 |
Change |
+ 1.4 u |
+ 2 u |
+ ? |
+ 176 |
After |
8.4 u |
5 u |
5 u |
736 |
Increase in the number of Chinese novels
= 20% x 7 u
=
20100 x 7 u
= 1.4 u
Increase in the number of English novels
=
23 x 3 u
= 2 u
Total number of novels at first
= 7 u + 3 u + 4 u
= 14 u
14 u = 560
1 u = 560 ÷ 14 = 40
Increase in the number of Chinese and English novels
= 1.4 u + 2 u
= 3.4 u
= 3.4 x 40
= 136
Number of Malay novels brought in
= 176 - 136
= 40
(b)
Number of Malay novels at first
= 4 u
= 4 x 40
= 160
Percentage increase in Malay novels
=
40160 x 100%
= 25%
Answer(s): (a) 40; (b) 25%