A shop had 260 fiction books. There were English, Malay and Chinese fiction books in the ratio of 3 : 6 : 4. When the shop assistant brought in another 112 new fiction books, the number of English fiction books was increased by 20% and the number of Malay fiction books was increased by ¹₃.

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

	English	Malay	Chinese	Total
Before	3 u	6 u	4 u	260
Change	+ 0.6 u	+ 2 u	+ ?	+ 112
After	3.6 u	8 u	7 u	372

Increase in the number of English fiction books
= 20% x 3 u
= ²⁰₁₀₀ x 3 u
= 0.6 u

Increase in the number of Malay 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 = 260

1 u = 260 ÷ 13 = 20

Increase in the number of English and Malay fiction books
= 0.6 u + 2 u
= 2.6 u
= 2.6 x 20
= 52

Number of Chinese fiction books brought in
= 112 - 52
= 60 

(b)
Number of Chinese fiction books at first
= 4 u
= 4 x 20
= 80

Percentage increase in Chinese fiction books
= ⁶⁰₈₀ x 100%
= 75%

Answer(s): (a) 60; (b) 75%