A shop had 750 fiction books. There were Malay, Chinese and English fiction books in the ratio of 2 : 8 : 5. When the shop assistant brought in another 290 new fiction books, the number of Malay fiction books was increased by 40% and the number of Chinese fiction books was increased by
38.
- 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 |
2 u |
8 u |
5 u |
750 |
Change |
+ 0.8 u |
+ 3 u |
+ ? |
+ 290 |
After |
2.8 u |
11 u |
7 u |
1040 |
Increase in the number of Malay fiction books
= 40% x 2 u
=
40100 x 2 u
= 0.8 u
Increase in the number of Chinese fiction books
=
38 x 8 u
= 3 u
Total number of fiction books at first
= 2 u + 8 u + 5 u
= 15 u
15 u = 750
1 u = 750 ÷ 15 = 50
Increase in the number of Malay and Chinese fiction books
= 0.8 u + 3 u
= 3.8 u
= 3.8 x 50
= 190
Number of English fiction books brought in
= 290 - 190
= 100
(b)
Number of English fiction books at first
= 5 u
= 5 x 50
= 250
Percentage increase in English fiction books
=
100250 x 100%
= 40%
Answer(s): (a) 100; (b) 40%