A shop had 360 story books. There were Chinese, English and Malay story books in the ratio of 3 : 4 : 5. When the shop assistant brought in another 204 new story books, the number of Chinese story books was increased by 60% and the number of English story books was increased by
12.
- What was the number of Malay story books that the shop assistant brought in?
- What was the percentage increase in the number of Malay story books?
|
Chinese |
English |
Malay |
Total |
Before |
3 u |
4 u |
5 u |
360 |
Change |
+ 1.8 u |
+ 2 u |
+ ? |
+ 204 |
After |
4.8 u |
6 u |
8 u |
564 |
Increase in the number of Chinese story books
= 60% x 3 u
=
60100 x 3 u
= 1.8 u
Increase in the number of English story books
=
12 x 4 u
= 2 u
Total number of story books at first
= 3 u + 4 u + 5 u
= 12 u
12 u = 360
1 u = 360 ÷ 12 = 30
Increase in the number of Chinese and English story books
= 1.8 u + 2 u
= 3.8 u
= 3.8 x 30
= 114
Number of Malay story books brought in
= 204 - 114
= 90
(b)
Number of Malay story books at first
= 5 u
= 5 x 30
= 150
Percentage increase in Malay story books
=
90150 x 100%
= 60%
Answer(s): (a) 90; (b) 60%