Here is your INCREASE & DECREASE - 5 Exam Questions + Memo - Grade 8 level. --- PRACTICE TEST - 20 MARKS Q1. (3 marks) A book costs R200. It increases by 10%. What is the new price? Show working. Q2. (3 marks) A school has 800 learners. The number decreases by 5%. How many learners are left? Q3. (4 marks) A phone costs R1000. First it increases by 20%, then it decreases by 20%. Is the final price R1000? Show calculation. Q4. (5 marks) In a shop: a) Shirt was R250, now R300. What is the percentage increase? (3) b) Is that increase more than 25%? (2) Q5. (5 marks) A Grade 8 class had 40 marks. Thandi got 32. a) If pass mark increases from 40% to 50%, will she still pass? (2) b) If her marks decrease by 10%, what will she get? (3) --- MEMO - ANSWERS Q1. 10% of 200 = 0.10 × 200 = 20. New = 200 + 20 = R220 ✅ Q2. 5% of 800 = 0.05 × 800 = 40. Left = 800 − 40 = 760 learners ✅ Q3. Increase: 1000 × 1.20 = R1200. Decrease: 1200 × 0.80 = R960. NO, not R1000 - it's less! This is a trick they love in exams. Q4. a) Increase = 300−250 = 50. % = (50 ÷ 250) × 100 = 20% increase b) No, 20% is less than 25%. Q5. a) 50% of 40 = 20. Thandi has 32, so YES she still passes, 32 > 20. b) 10% of 32 = 3.2. New = 32 − 3.2 = 28.8 ≈ 29 marks --- Exam formula to memorize: - % Increase = (New - Old) ÷ Old × 100 - % Decrease = (Old - New) ÷ Old × 100 You want next one on PROFIT and LOSS? That's also increase/decrease - they always ask it.

Business/Management

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Okay, let's do a question on PROFIT and LOSS.

Q1. (5 marks) A shop buys a jacket for R400.

a) They want to make a 20% profit. What is the selling price? (3 marks)

b) During a sale, they offer a 10% discount on the selling price from part (a). What is the discounted price? (2 marks)

Here's the solution:

a) Calculate the selling price with a 20% profit.

  1. Calculate the profit amount.

    Profit=20% of R400=20100×400=R80\text{Profit} = 20\% \text{ of R}400 = \frac{20}{100} \times 400 = \text{R}80
  2. Add the profit to the cost price to find the selling price.

    Selling Price=Cost Price+Profit=R400+R80=R480\text{Selling Price} = \text{Cost Price} + \text{Profit} = \text{R}400 + \text{R}80 = \text{R}480

    The selling price is R480.

    b) Calculate the discounted price with a 10% discount.

  3. Calculate the discount amount on the selling price from part (a).

    Discount=10% of R480=10100×480=R48\text{Discount} = 10\% \text{ of R}480 = \frac{10}{100} \times 480 = \text{R}48
  4. Subtract the discount from the selling price to find the discounted price.

    Discounted Price=Selling Price−Discount=R480−R48=R432\text{Discounted Price} = \text{Selling Price} - \text{Discount} = \text{R}480 - \text{R}48 = \text{R}432

    The discounted price is R432.

    Final Answer:

    a) The selling price is R480\boxed{\text{R}480}.

    b) The discounted price is R432\boxed{\text{R}432}.

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