A store had 420 story books. There were Malay, Chinese and English story books in the ratio of 1 : 6 : 5. When the store assistant brought in another 224 new story books, the number of Malay story books was increased by 40% and the number of Chinese story books was increased by
12.
- What was the number of English story books that the store assistant brought in?
- What was the percentage increase in the number of English story books?
|
Malay |
Chinese |
English |
Total |
Before |
1 u |
6 u |
5 u |
420 |
Change |
+ 0.4 u |
+ 3 u |
+ ? |
+ 224 |
After |
1.4 u |
9 u |
8 u |
644 |
Increase in the number of Malay story books
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in the number of Chinese story books
=
12 x 6 u
= 3 u
Total number of story books at first
= 1 u + 6 u + 5 u
= 12 u
12 u = 420
1 u = 420 ÷ 12 = 35
Increase in the number of Malay and Chinese story books
= 0.4 u + 3 u
= 3.4 u
= 3.4 x 35
= 119
Number of English story books brought in
= 224 - 119
= 105
(b)
Number of English story books at first
= 5 u
= 5 x 35
= 175
Percentage increase in English story books
=
105175 x 100%
= 60%
Answer(s): (a) 105; (b) 60%