A book shop had 585 fiction books. There were Chinese, English and Malay fiction books in the ratio of 3 : 6 : 4. When the book shop assistant brought in another 234 new fiction books, the number of Chinese fiction books was increased by 40% and the number of English fiction books was increased by ¹₃.

1. What was the number of Malay fiction books that the book shop assistant brought in?
2. What was the percentage increase in the number of Malay fiction books?

	Chinese	English	Malay	Total
Before	3 u	6 u	4 u	585
Change	+ 1.2 u	+ 2 u	+ ?	+ 234
After	4.2 u	8 u	6 u	819

Increase in the number of Chinese fiction books
= 40% x 3 u
= ⁴⁰₁₀₀ x 3 u
= 1.2 u

Increase in the number of English fiction books
= ¹₃ x 6 u
= 2 u

Total number of fiction books at first
= 3 u + 6 u + 4 u
= 13 u

13 u = 585

1 u = 585 ÷ 13 = 45

Increase in the number of Chinese and English fiction books
= 1.2 u + 2 u
= 3.2 u
= 3.2 x 45
= 144

Number of Malay fiction books brought in
= 234 - 144
= 90 

(b)
Number of Malay fiction books at first
= 4 u
= 4 x 45
= 180

Percentage increase in Malay fiction books
= ⁹⁰₁₈₀ x 100%
= 50%

Answer(s): (a) 90; (b) 50%