A book shop had 980 novels. There were Chinese, English and Malay novels in the ratio of 3 : 7 : 4. When the book shop assistant brought in another 182 new novels, the number of Chinese novels was increased by 20% and the number of English novels was increased by
17.
- What was the number of Malay novels that the book shop assistant brought in?
- What was the percentage increase in the number of Malay novels?
|
Chinese |
English |
Malay |
Total |
Before |
3 u |
7 u |
4 u |
980 |
Change |
+ 0.6 u |
+ 1 u |
+ ? |
+ 182 |
After |
3.6 u |
8 u |
5 u |
1162 |
Increase in the number of Chinese novels
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Increase in the number of English novels
=
17 x 7 u
= 1 u
Total number of novels at first
= 3 u + 7 u + 4 u
= 14 u
14 u = 980
1 u = 980 ÷ 14 = 70
Increase in the number of Chinese and English novels
= 0.6 u + 1 u
= 1.6 u
= 1.6 x 70
= 112
Number of Malay novels brought in
= 182 - 112
= 70
(b)
Number of Malay novels at first
= 4 u
= 4 x 70
= 280
Percentage increase in Malay novels
=
70280 x 100%
= 25%
Answer(s): (a) 70; (b) 25%