A shop had 1425 fiction books. There were Malay, Chinese and English fiction books in the ratio of 7 : 4 : 8. When the shop assistant brought in another 630 new fiction books, the number of Malay fiction books was increased by 20% and the number of Chinese fiction books was increased by
14.
- 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 |
7 u |
4 u |
8 u |
1425 |
Change |
+ 1.4 u |
+ 1 u |
+ ? |
+ 630 |
After |
8.4 u |
5 u |
14 u |
2055 |
Increase in the number of Malay fiction books
= 20% x 7 u
=
20100 x 7 u
= 1.4 u
Increase in the number of Chinese fiction books
=
14 x 4 u
= 1 u
Total number of fiction books at first
= 7 u + 4 u + 8 u
= 19 u
19 u = 1425
1 u = 1425 ÷ 19 = 75
Increase in the number of Malay and Chinese fiction books
= 1.4 u + 1 u
= 2.4 u
= 2.4 x 75
= 180
Number of English fiction books brought in
= 630 - 180
= 450
(b)
Number of English fiction books at first
= 8 u
= 8 x 75
= 600
Percentage increase in English fiction books
=
450600 x 100%
= 75%
Answer(s): (a) 450; (b) 75%