intermediate

Mathematics — 5-topic bundle

Comprehensive AI-generated study curriculum with 2 detailed note modules.

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Course Syllabus

  1. Percentage Applications: Profit, Loss, and Discount
  2. Financial Mathematics: Interest and Currency
  3. Ratios and Proportions
  4. Sequences: nth Term and General Rules
  5. Variation: Direct and Inverse

Study Notes

Percentage Applications: Profit, Loss, and Discount

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When we talk about profit, loss, or discount, we're always comparing a change in value to an original value, and then expressing that comparison as a percentage. The "original value" is crucial – it's your base for all calculations.

Cost Price (CP): This is the price at which an item is bought.
Selling Price (SP): This is the price at which an item is sold.

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Financial Mathematics: Interest and Currency

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Example: A shirt costs $40. You sell it for $50.
Profit = $50 - $40 = $10.
Percentage Profit = ($10 / $40) * 100% = 25%.

Example: A $60 item has a 10% discount.
Discount Amount = $60 * (10 / 100) = $6.
New Price = $60 - $6 = $54.

  • To convert from Currency A to Currency B: Multiply the amount in Currency A by the exchange rate (if the rate is "1 unit of A = X units of B").
  • To convert from Currency B to Currency A: Divide the amount in Currency B by the exchange rate.
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