INTERÉS SIMPLE 📈 Interés Bancario

Introduction and Overview

In this video, Susi introduces the topic of finding simple interest in banking. She explains that simple interest is when a bank gives us benefits on our deposited money after a certain period of time. Susi also introduces the formula for calculating simple interest.

Finding Simple Interest Formula

• The formula for finding simple interest is: i = (c * r * t) / 100.

• "i" represents the interest, "c" represents the capital or amount of money deposited, "r" represents the income or percentage agreed with the bank, and "t" represents the time in years.

• If time is given in months, divide it by 12 to convert it into years. If time is given in days, divide it by 360 to approximate it as years.

Example Calculation

Susi demonstrates how to apply the formula for finding simple interest using an example calculation.

Example Calculation

• Given: Capital (C) = 30,000 euros, Income (r) = 6%, Time (t) = 5 years.

• Applying the formula: i = (30,000 * 6 * 5) / 100.

• Simplifying the calculation: i = 9,000 euros.

• Therefore, if you invest 30,000 euros at an annual interest rate of 6% for a period of 5 years, you will earn an interest of 9,000 euros.

Understanding Rule of Three

Susi explains another method to understand how simple interest calculations work by using a rule of three approach.

Rule of Three Method

• Simple interest calculations can be understood as compound rule of three problems.

• The magnitudes involved are capital, time, and interest.

• By setting up a rule of three equation, you can determine the relationship between these magnitudes and find the interest.

Applying Rule of Three

Susi demonstrates how to apply the rule of three method to calculate simple interest.

Applying Rule of Three

• Assume an initial investment of 100 euros with an interest rate of 6% for one year. This would yield an interest of 6 euros.

• Now consider the actual capital (30,000 euros) and time (5 years) in your calculation to find the corresponding interest.

• Set up a proportion using the initial investment as a reference: 100/6 = 30,000/Y.

• Solve for Y to find the interest earned on a capital of 30,000 euros over a period of 5 years.

The remaining part of the transcript does not provide any additional information relevant to note-taking.

Understanding the Rule of Three

In this section, the speaker explains how to understand and apply the rule of three in solving problems.

Applying the Rule of Three

• The speaker introduces an example where a capital investment of 100 euros for one year yields an interest rate R.

• The general principle is that for every 100 euros invested for one year, there will be R interests earned.

• The formula to calculate the interest earned on a capital X invested for a time period T is given as 100 divided by C times 1 divided by T equals I (interest).

• By rearranging the formula, we can solve for I: I equals C times T times R divided by 100.

The Formula and its Origin

• The famous formula for simple interest comes from applying the rule of three.

• It is important to understand that even if the order of factors changes, the formula remains the same.

• Mastering the rule of three enables individuals to easily calculate bank interests.

Conclusion and Call-to-action

In this final section, the speaker concludes by summarizing how understanding and applying the rule of three can help with calculating bank interests.

• The speaker encourages viewers to like, share, subscribe to their channel, and follow them on Instagram for more videos and exercises related to mathematics.