PSLE
Shops Y and Z sell punchers of four colours. The bar graphs show the number of punchers sold by each shop in July. The bar for the number blue punchers sold by Shop Y has not been drawn.

1. Half of the punchers sold by Shop Y were blue punchers. How many blue punchers did Shop Y sell?
2. Which colour(s) of punchers did Shop Y sell less than Shop Z? Give your answer(s) in letter(s) in alphabetical order. (Eg Blue, Red = B, R)
3. In August, Shop Z sold 5 less purple punchers than the number of purple punchers sold in July. What was the percentage increase in the number of purple punchers sold by Shop Z from July to August?

(a)
Number of green punchers sold in Shop Y = 80
Number of purple punchers sold in Shop Y = 140
Number of orange punchers sold in Shop Y = 80

Since blue punchers sold in Shop Y is half of the punchers sold by Shop Y, the total of purple punchers, orange punchers and green punchers is equal to blue punchers.

Number of blue punchers sold in Shop Y
= 140 + 80 + 80
= 300

(b)
Number of green punchers sold in Shop Y = 80 (Less) 
Number of green punchers sold in Shop Z = 160

Number of purple punchers sold in Shop Y = 140 (More)
Number of purple punchers sold in Shop Z = 20

Number of orange punchers sold in Shop Y = 80 (Equal)
Number of orange punchers sold in Shop Z = 80

Number of blue punchers sold in Shop Y = 300 (More) 
Number of blue punchers sold in Shop Z = 160 

Colour(s) of punchers that Shop Y sold less than Shop Z = Green (G)

(c)
Percentage decrease in the number of purple punchers sold by Shop Z from July to August
= ⁵₂₀ x 100%
= ¹₄ x 100%
= 25%

Answer(s): (a) 300; (b) G; (c) 25%