Key insights

• ⭐ Percentage represents a part of the base
• 🔢 Base is the number that represents the total value
• 📊 Rate defines what part the percentage is of the base
• 📝 Formula for percentage is rate times base or percentage divided by the base
• 🧠 Mnemonic for memorizing formulas: P represents percentage, R represents rate, and B represents base
• 🔍 Deriving the formulas: Identify the missing element and use the mnemonic to solve for it
• ⚙️ Identifying the given elements in a percentage problem is crucial to finding the missing element (percentage, base, or rate)
• 🔍 Calculating percentages by shifting decimal points and finding the base using a formula

Q&A

• How can I calculate percentages by shifting decimal points?

  The video segment explains how to calculate percentages by shifting decimal points and finding the base using the formula B = P / R. It also encourages viewers to solve practice problems and reminds them to like, subscribe, and hit the notification bell.

• What is the formula for solving percentage problems manually?

  The formula for solving percentage problems manually is r = p / b, where r is the rate, p is the percentage, and b is the base. The video showcases examples such as finding 10% of 60, 15% of 200, and determining the rate for 20% of 80 using this formula.

• How can I calculate a percentage using formulas?

  You can calculate a percentage using the formula p = R * B, where R is the rate and B is the base, or by breaking down the percentage into smaller units and multiplying each by the base, then summing the results. The video demonstrates both methods in the context of calculating 30% of 250.

• What is the step-by-step approach for solving percentage-related problems?

  The video provides a step-by-step approach for identifying missing elements in percentage problems and solving them. It emphasizes on identifying the given elements, using the mnemonic to solve for the missing element, and provides examples to demonstrate the process.

• How can I memorize the formulas for percentage, base, and rate?

  You can use a mnemonic where 'P' represents percentage, 'R' represents rate, and 'B' represents base. This mnemonic aids in quickly recalling the formulas for percentage, base, and rate.

• What does the video teach about percentage, base, and rate?

  The video explains the concepts of percentage, base, and rate, providing definitions and formulas for each. It also teaches how to memorize and derive the formulas using a mnemonic and identifies missing elements in problems.

• 00:02 An explanation of percentage, base, and rate, including their definitions and formulas.
• 01:52 The video explains how to memorize and derive the formulas for percentage, base, and rate using a mnemonic. It also teaches how to identify the missing elements in a given problem.
• 04:14 The video discusses how to identify missing elements in percentage problems and provides a step-by-step approach for solving percentage-related problems.
• 06:58 Calculating 30% of 250 using the formula p = R * B, where R is 30% converted to decimal and B is 250, the result is 75. Another method is breaking down 30% into 10% and multiplying each by 250, summing the results to get 75.
• 08:44 Solving percentage problems manually using the formula r = p / b, where r is the rate, p is the percentage, and b is the base. Calculated examples include finding 10% of 60, 15% of 200, and the rate for 20% of 80.
• 11:14 The video segment explains how to calculate percentages by shifting decimal points and finding the base using a formula. It concludes with a call to action for viewers to solve problems and a reminder to like, subscribe, and hit the notification bell.