A book shop had 315 novels. There were Malay, Chinese and English novels in the ratio of 7 : 6 : 8. When the book shop assistant brought in another 186 new novels, the number of Malay novels was increased by 20% and the number of Chinese novels was increased by
56.
- 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 |
7 u |
6 u |
8 u |
315 |
Change |
+ 1.4 u |
+ 5 u |
+ ? |
+ 186 |
After |
8.4 u |
11 u |
14 u |
501 |
Increase in the number of Malay novels
= 20% x 7 u
=
20100 x 7 u
= 1.4 u
Increase in the number of Chinese novels
=
56 x 6 u
= 5 u
Total number of novels at first
= 7 u + 6 u + 8 u
= 21 u
21 u = 315
1 u = 315 ÷ 21 = 15
Increase in the number of Malay and Chinese novels
= 1.4 u + 5 u
= 6.4 u
= 6.4 x 15
= 96
Number of English novels brought in
= 186 - 96
= 90
(b)
Number of English novels at first
= 8 u
= 8 x 15
= 120
Percentage increase in English novels
=
90120 x 100%
= 75%
Answer(s): (a) 90; (b) 75%