PSLE
Neave had purple notebooks and green notebooks for sale. He sold 30 purple notebooks. 70% of the notebooks sold were green.

1. How many purple notebooks and green notebooks did Neave sell altogether?
2. He sold 50% of his notebooks. 80% of the notebooks left unsold were purple. How many green notebooks did Neave have at first?

	Purple	Green	Total	Total in percent
Before	11 u	9 u	20 u	100%
Change	- 30% - 3 u	- 70% - 7 u	- 100% - 10 u	- 50%
After	80% 8 u	20% 2 u	100% 10 u	50%

70% = ⁷⁰₁₀₀ = ⁷₁₀

Total number of notebooks sold = 10 u
Number of green notebooks sold = 7 u

Number of purple notebooks sold
= 10 u - 7 u
= 3 u

3 u = 30

1 u = 30 ÷ 3 = 10

Total number of notebooks sold
= 10 u
= 10 x 10
= 100

(b)
Percent of the notebooks left unsold
= 100% - 50%
= 50%

50% of the notebooks that were sold = 10 u
50% of the notebooks that were left unsold = 10 u

Percent of the notebooks left unsold that were purple = 80%
Percent of the notebooks left unsold that were green = 100% - 80% = 20%

Number of the notebooks left unsold that were green
= 20% x 10 u
= ²⁰₁₀₀ x 10 u
= 2 u

Number of green notebooks that Neave had at first
= 2 u + 7 u
= 9 u
= 9 x 10
= 90

Answer(s): (a) 100; (b) 90