A shop had 850 story books. There were Chinese, English and Malay story books in the ratio of 3 : 8 : 6. When the shop assistant brought in another 440 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 |
8 u |
6 u |
850 |
Change |
+ 1.8 u |
+ 4 u |
+ ? |
+ 440 |
After |
4.8 u |
12 u |
9 u |
1290 |
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 8 u
= 4 u
Total number of story books at first
= 3 u + 8 u + 6 u
= 17 u
17 u = 850
1 u = 850 ÷ 17 = 50
Increase in the number of Chinese and English story books
= 1.8 u + 4 u
= 5.8 u
= 5.8 x 50
= 290
Number of Malay story books brought in
= 440 - 290
= 150
(b)
Number of Malay story books at first
= 6 u
= 6 x 50
= 300
Percentage increase in Malay story books
=
150300 x 100%
= 50%
Answer(s): (a) 150; (b) 50%