A shop had 630 novels. There were Malay, Chinese and English novels in the ratio of 1 : 5 : 8. When the shop assistant brought in another 252 new novels, the number of Malay novels was increased by 60% and the number of Chinese novels was increased by
15.
- What was the number of English novels that the shop assistant brought in?
- What was the percentage increase in the number of English novels?
|
Malay |
Chinese |
English |
Total |
Before |
1 u |
5 u |
8 u |
630 |
Change |
+ 0.6 u |
+ 1 u |
+ ? |
+ 252 |
After |
1.6 u |
6 u |
12 u |
882 |
Increase in the number of Malay novels
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Increase in the number of Chinese novels
=
15 x 5 u
= 1 u
Total number of novels at first
= 1 u + 5 u + 8 u
= 14 u
14 u = 630
1 u = 630 ÷ 14 = 45
Increase in the number of Malay and Chinese novels
= 0.6 u + 1 u
= 1.6 u
= 1.6 x 45
= 72
Number of English novels brought in
= 252 - 72
= 180
(b)
Number of English novels at first
= 8 u
= 8 x 45
= 360
Percentage increase in English novels
=
180360 x 100%
= 50%
Answer(s): (a) 180; (b) 50%