Unit 4
6 marks · Normal5. Saira is baking cupcakes for a charity sale. Each cupcake sells for £2. She expects the sale to raise £180. However, due to a last minute change, a 15% discount is applied to all cupcakes.
How many cupcakes does Saira originally plan to sell?
What is the price of each cupcake after the discount?
How much money will she actually raise if she sells the same number of cupcakes at the new discounted price?
If she wants to raise exactly £180 after the discount, how many cupcakes must she sell? Round your answer to the nearest whole number.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) 90
(b) £1.70 pounds
(c) £153 pounds
(d) 106
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Divides total by price (£180/£2).
A1 (b) · 1 mark · Finds new price using multiplying factor (1-0.15=0.85).
A2 (b) · 1 mark · New price is £1.70. (follow-through)
M2 (c) · 1 mark · Multiplies new unit price by original number.
A3 (c) · 1 mark · Finds money raised: 90×£1.70=£153. (follow-through)
B1 (d) · 1 mark · Computes new number needed as: 180 / 1.7 ≈ 105.88 → 106 (follow-through)
Worked solution
a) Number of cupcakes = £180 / £2 = 90.
b) New price = £2 × 0.85 = £1.70.
c) Money received at new price = 90 × £1.70 = £153.
d) 180 / 1.70 = 105.88 ≈ 106 cupcakes.