A shop had 960 story books. There were Chinese, English and Malay story books in the ratio of 3 : 8 : 5. When the shop assistant brought in another 576 new story books, the number of Chinese story books was increased by 20% and the number of English story books was increased by
34.
- 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 |
5 u |
960 |
Change |
+ 0.6 u |
+ 6 u |
+ ? |
+ 576 |
After |
3.6 u |
14 u |
8 u |
1536 |
Increase in the number of Chinese story books
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Increase in the number of English story books
=
34 x 8 u
= 6 u
Total number of story books at first
= 3 u + 8 u + 5 u
= 16 u
16 u = 960
1 u = 960 ÷ 16 = 60
Increase in the number of Chinese and English story books
= 0.6 u + 6 u
= 6.6 u
= 6.6 x 60
= 396
Number of Malay story books brought in
= 576 - 396
= 180
(b)
Number of Malay story books at first
= 5 u
= 5 x 60
= 300
Percentage increase in Malay story books
=
180300 x 100%
= 60%
Answer(s): (a) 180; (b) 60%