A shop had 910 fiction books. There were Malay, Chinese and English fiction books in the ratio of 3 : 6 : 5. When the shop assistant brought in another 377 new fiction books, the number of Malay fiction books was increased by 60% and the number of Chinese fiction books was increased by
13.
- 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 |
3 u |
6 u |
5 u |
910 |
Change |
+ 1.8 u |
+ 2 u |
+ ? |
+ 377 |
After |
4.8 u |
8 u |
7 u |
1287 |
Increase in the number of Malay fiction books
= 60% x 3 u
=
60100 x 3 u
= 1.8 u
Increase in the number of Chinese fiction books
=
13 x 6 u
= 2 u
Total number of fiction books at first
= 3 u + 6 u + 5 u
= 14 u
14 u = 910
1 u = 910 ÷ 14 = 65
Increase in the number of Malay and Chinese fiction books
= 1.8 u + 2 u
= 3.8 u
= 3.8 x 65
= 247
Number of English fiction books brought in
= 377 - 247
= 130
(b)
Number of English fiction books at first
= 5 u
= 5 x 65
= 325
Percentage increase in English fiction books
=
130325 x 100%
= 40%
Answer(s): (a) 130; (b) 40%