A book shop had 455 fiction books. There were Malay, Chinese and English fiction books in the ratio of 2 : 6 : 5. When the book shop assistant brought in another 189 new fiction books, the number of Malay fiction books was increased by 20% and the number of Chinese fiction books was increased by ¹₃.

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

	Malay	Chinese	English	Total
Before	2 u	6 u	5 u	455
Change	+ 0.4 u	+ 2 u	+ ?	+ 189
After	2.4 u	8 u	8 u	644

Increase in the number of Malay fiction books
= 20% x 2 u
= ²⁰₁₀₀ x 2 u
= 0.4 u

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

Total number of fiction books at first
= 2 u + 6 u + 5 u
= 13 u

13 u = 455

1 u = 455 ÷ 13 = 35

Increase in the number of Malay and Chinese fiction books
= 0.4 u + 2 u
= 2.4 u
= 2.4 x 35
= 84

Number of English fiction books brought in
= 189 - 84
= 105 

(b)
Number of English fiction books at first
= 5 u
= 5 x 35
= 175

Percentage increase in English fiction books
= ¹⁰⁵₁₇₅ x 100%
= 60%

Answer(s): (a) 105; (b) 60%