Practice Maths

Profit, Loss and Discount — Solutions

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  1. Profit and loss calculations

    1. Cost $50, Sell $65:
    2. Cost $120, Sell $90:
    3. Cost $200, Sell $260:
    4. Cost $80, Sell $68:
    5. Cost $150, Sell $225:
    6. Cost $500, Sell $430:
    7. Cost $75, Sell $90:
    8. Cost $1000, Sell $850:

  2. Discount calculations

    1. $80 at 10% off:
    2. $250 at 20% off:
    3. $640 at 25% off:
    4. $180 at 15% off:
    5. $95 at 30% off:
    6. $1200 at 12% off:
    7. $56 at 50% off:
    8. $420 at 35% off:

  3. GST calculations

    1. $60 + GST:
    2. $145 + GST:
    3. $380 + GST:
    4. $2400 + GST:
    5. $17.50 + GST:
    6. Total inc. GST = $165:
    7. Total inc. GST = $550:

  4. Mixed profit/discount problems

    1. Shoes $90 at 40% mark-up:
    2. Laptop $1500 sold for $1050:
    3. Dress $160 −30% then +GST:
    4. 25% profit on $84 cost:
    5. Sold for $78 at 35% profit:

  5. Problem solving

    1. Market trader (scarves):
    2. Camera $150 sold for $195:
      1. % profit:
      2. GST included in $195:
    3. Deal A vs Deal B on $400:
    4. Business revenue loss and profit:

  6. Selling price from cost and %

    1. $60, 25% profit:
    2. $180, 10% loss:
    3. $250, 40% profit:
    4. $45, 20% loss:
    5. $800, 15% profit:
    6. $1200, 8% loss:
    7. $35, 60% profit:
    8. $720, 12.5% loss:

  7. Finding cost price

    1. SP $168, 40% profit:
    2. SP $85, 15% loss:
    3. SP $312, 30% profit:
    4. SP $540, 10% loss:
    5. SP $242 inc. GST:

  8. Discount and GST combined

    1. TV $1100, −15% then +GST:
    2. $250, −20% discount + $15 postage:
    3. Car $12 500, +18% then −5%:
    4. Restaurant $180, +10% service fee then −20% voucher:

  9. Business scenario interpretation

    1. 100 items, cost $12 each; 70 sold at $18, 30 at $12:
    2. House $380 000 → $475 000:
    3. 8 tickets at $55, 12% group discount, then +GST:
    4. Costs $45 000, revenue $52 000:

  10. Multi-step profit, loss and discount investigation

    1. Jacket $80 cost, +60% mark-up, −25% sale:
    2. 5 cars, repairs $1200 each:
    3. Product $4.50 inc. GST, wholesale $2.50:
    4. 200 shares at $8.50; −12% year 1, +20% year 2: