A shop had 300 fiction books. There were Malay, Chinese and English fiction books in the ratio of 1 : 6 : 8. When the shop assistant brought in another 144 new fiction books, the number of Malay fiction books was increased by 20% and the number of Chinese fiction books was increased by
56.
- What was the number of English fiction books that the shop assistant brought in?
- What was the percentage increase in the number of English fiction books?
|
Malay |
Chinese |
English |
Total |
Before |
1 u |
6 u |
8 u |
300 |
Change |
+ 0.2 u |
+ 5 u |
+ ? |
+ 144 |
After |
1.2 u |
11 u |
10 u |
444 |
Increase in the number of Malay fiction books
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in the number of Chinese fiction books
=
56 x 6 u
= 5 u
Total number of fiction books at first
= 1 u + 6 u + 8 u
= 15 u
15 u = 300
1 u = 300 ÷ 15 = 20
Increase in the number of Malay and Chinese fiction books
= 0.2 u + 5 u
= 5.2 u
= 5.2 x 20
= 104
Number of English fiction books brought in
= 144 - 104
= 40
(b)
Number of English fiction books at first
= 8 u
= 8 x 20
= 160
Percentage increase in English fiction books
=
40160 x 100%
= 25%
Answer(s): (a) 40; (b) 25%