A book shop had 1575 novels. There were Chinese, English and Malay novels in the ratio of 7 : 6 : 8. When the book shop assistant brought in another 780 new novels, the number of Chinese novels was increased by 20% and the number of English novels was increased by
56.
- 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 |
7 u |
6 u |
8 u |
1575 |
Change |
+ 1.4 u |
+ 5 u |
+ ? |
+ 780 |
After |
8.4 u |
11 u |
12 u |
2355 |
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
=
56 x 6 u
= 5 u
Total number of novels at first
= 7 u + 6 u + 8 u
= 21 u
21 u = 1575
1 u = 1575 ÷ 21 = 75
Increase in the number of Chinese and English novels
= 1.4 u + 5 u
= 6.4 u
= 6.4 x 75
= 480
Number of Malay novels brought in
= 780 - 480
= 300
(b)
Number of Malay novels at first
= 8 u
= 8 x 75
= 600
Percentage increase in Malay novels
=
300600 x 100%
= 50%
Answer(s): (a) 300; (b) 50%