A shop had 1050 fiction books. There were Chinese, English and Malay fiction books in the ratio of 2 : 7 : 5. When the shop assistant brought in another 510 new fiction books, the number of Chinese fiction books was increased by 40% and the number of English fiction books was increased by
37.
- What was the number of Malay fiction books that the shop assistant brought in?
- What was the percentage increase in the number of Malay fiction books?
|
Chinese |
English |
Malay |
Total |
Before |
2 u |
7 u |
5 u |
1050 |
Change |
+ 0.8 u |
+ 3 u |
+ ? |
+ 510 |
After |
2.8 u |
10 u |
8 u |
1560 |
Increase in the number of Chinese fiction books
= 40% x 2 u
=
40100 x 2 u
= 0.8 u
Increase in the number of English fiction books
=
37 x 7 u
= 3 u
Total number of fiction books at first
= 2 u + 7 u + 5 u
= 14 u
14 u = 1050
1 u = 1050 ÷ 14 = 75
Increase in the number of Chinese and English fiction books
= 0.8 u + 3 u
= 3.8 u
= 3.8 x 75
= 285
Number of Malay fiction books brought in
= 510 - 285
= 225
(b)
Number of Malay fiction books at first
= 5 u
= 5 x 75
= 375
Percentage increase in Malay fiction books
=
225375 x 100%
= 60%
Answer(s): (a) 225; (b) 60%