MATERI UTBK SNBT PENGETAHUAN KUANTITATIF - ARITMATIKA SOSIAL

Summary

In this educational video, Kak Yuni breaks down the concepts of social arithmetic, demonstrating their relevance to everyday situations like saving money, calculating profits and losses, and understanding discounts. Key topics include profit and loss formulas, discount calculations, and interest rates, all explained with practical examples. The video aims to help UTBK exam takers grasp these important mathematical concepts and apply them in real-life scenarios. With clear explanations and worked-out examples, this tutorial guides viewers through essential arithmetic skills for financial literacy.

Takeaways

• 😀 Aritmatika sosial is closely linked to daily life, such as saving money, calculating profits and losses, and other scenarios like buying and selling.
• 😀 Profit (keuntungan) occurs when the selling price is higher than the purchase price, and the formula for profit is: Selling Price - Purchase Price.
• 😀 The percentage of profit is calculated as: (Profit / Purchase Price) × 100%.
• 😀 Loss (kerugian) happens when the selling price is lower than the purchase price, and the formula for loss is: Purchase Price - Selling Price.
• 😀 The percentage of loss is calculated as: (Loss / Purchase Price) × 100%.
• 😀 Discount (diskon) is calculated as: Gross Price - Discount Price, and the percentage of discount is: (Discount / Purchase Price) × 100%.
• 😀 Bruto refers to gross weight, which includes the weight of the packaging (Tara), and Neto refers to net weight, which excludes the packaging.
• 😀 The formula for Neto weight is: Bruto - Tara, and the percentage of Tara is: (Tara / Bruto) × 100%.
• 😀 For interest calculation, formulas vary based on the time period: 1 year, months, or days, using variables P (initial deposit), N (duration), and I (interest rate).
• 😀 Practical examples include calculating the initial deposit after applying interest, determining profit percentage from sales, and applying discounts to products.
• 😀 Understanding the effect of multiple consecutive discounts on the final price is important, with the total discount percentage determined by combining each discount applied sequentially.

Q & A

What is 'Aritmatika Sosial' and how is it related to daily life?

'Aritmatika Sosial' or Social Arithmetic is a branch of mathematics that deals with calculations used in daily life. It includes practical applications such as calculating profits, losses, and interest, as well as handling discounts, prices, and transactions in buying and selling goods.

How is profit calculated in Social Arithmetic?

Profit, also called 'laba', is calculated by subtracting the purchase price of an item from its selling price. The formula for profit is: Profit = Selling Price - Purchase Price.

What is the formula for calculating profit percentage?

The profit percentage is calculated by dividing the profit by the purchase price and then multiplying by 100. The formula is: Profit Percentage = (Profit / Purchase Price) * 100%.

How is loss in a transaction calculated in Social Arithmetic?

Loss, or 'kerugian', occurs when the selling price is less than the purchase price. It is calculated by subtracting the selling price from the purchase price. The formula is: Loss = Purchase Price - Selling Price.

How do you calculate loss percentage in a transaction?

The loss percentage is calculated by dividing the loss by the purchase price and then multiplying by 100. The formula is: Loss Percentage = (Loss / Purchase Price) * 100%.

What is a 'diskon' and how is it calculated?

A 'diskon' is a discount given on the original price of an item. It is calculated by subtracting the discount amount from the gross price. The formula for discount percentage is: Discount Percentage = (Discount / Purchase Price) * 100%.

How do you calculate the net price after a discount?

To calculate the net price after a discount, subtract the discount amount from the original price. For example, if the original price is Rp 100,000 and the discount is 20%, the net price is: Net Price = 100,000 - (20% of 100,000).

What is the difference between 'bruto', 'neto', and 'tara' in measurements?

In measurements, 'bruto' refers to the gross weight, 'neto' refers to the net weight (after removing packaging), and 'tara' refers to the weight of the packaging itself. The formula for net weight is: Neto = Bruto - Tara.

What is the formula for calculating interest on savings?

To calculate interest on savings, you use the formula: Interest = Principal (P) * Interest Rate (I) * Time (n). For different time periods, you adjust the time component (n) accordingly, such as for years, months, or days.

How do you calculate the original deposit based on the final amount and interest?

If you know the final amount after interest and the interest rate, you can calculate the original deposit by rearranging the interest formula. For example, if the final amount is Rp 2,120,000 with an interest rate of 6% for 9 months, the original deposit is calculated by: Original Deposit = Final Amount / (1 + Interest Rate).