WAEC WAEC Nigeria General Mathematics

Revision Notes

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(Percentages)

Commission and Discounts

Commission and Discounts

Understanding Commission

A commission is a fee paid to a person or company for conducting a transaction. It is often a percentage of the sales value.

For example, if a salesperson earns a 10% commission on sales, they receive 10% of the total sales amount as their earnings.

Calculating Commission

  • Identify the total sales amount.
  • Determine the commission rate (as a percentage).
  • Calculate the commission using the formula: Commission=(Commission Rate100)×Total Sales\text{Commission} = \left( \frac{\text{Commission Rate}}{100} \right) \times \text{Total Sales}

 

Understanding Discounts

A discount is a reduction in the price of a product or service. It is usually given as a percentage of the original price.

For example, a 20% discount on a product means the price is reduced by 20%.

Calculating Discounts

  • Identify the original price of the item.
  • Determine the discount rate (as a percentage).
  • Calculate the discount using the formula: Discount=(Discount Rate100)×Original Price\text{Discount} = \left( \frac{\text{Discount Rate}}{100} \right) \times \text{Original Price}
  • Find the sale price by subtracting the discount from the original price: Sale Price=Original PriceDiscount\text{Sale Price} = \text{Original Price} - \text{Discount}

 

Examples

Example 1: Calculating Commission

Worked Example

A real estate agent sells a house for ₦5,000,000 and earns a 5% commission. What is the commission?

 

Example 2: Calculating Discounts

Worked Example

A store offers a 15% discount on a television originally priced at ₦80,000. What is the sale price?

Tuity Tip

Hover me!

Tuity Tip: Always double-check your percentage calculations by converting the percentage to a decimal before multiplying.

Remember: A higher discount rate means a lower sale price, while a higher commission rate means more earnings for the salesperson.

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