Math Problem Statement

Pilihlah a, b, c atau d beserta caranya

Seorang pedagang es jus membeli 12 buah durian untuk bahan jualannya. Dia kemudian membayar pakai 3 lembar uang Rp100 ribuan, dan mendapatkan uang kembalian Rp30.000. Jika si pedagang itu hanya membeli 8 buah durian, dia harus membayarkan uang berapa?

Solution

The question asks us to determine how much a seller should pay if they purchase 8 durians, given that they paid 3 sheets of Rp100,000 (total Rp300,000) for 12 durians and received Rp30,000 in change.

Step-by-step solution:

  1. Determine the total price for 12 durians:

    • The seller paid Rp300,000 and received Rp30,000 in change.
    • Therefore, the total price for 12 durians is: 300,00030,000=270,000300,000 - 30,000 = 270,000 So, the total price for 12 durians is Rp270,000.
  2. Calculate the price per durian:

    • To find the price of one durian, divide the total price by 12: 270,00012=22,500\frac{270,000}{12} = 22,500 Each durian costs Rp22,500.
  3. Calculate the total cost for 8 durians:

    • If the seller buys 8 durians, the total cost will be: 8×22,500=180,0008 \times 22,500 = 180,000 The total cost for 8 durians is Rp180,000.

Answer:

The seller should pay Rp180,000 for 8 durians, which corresponds to option D.

Would you like any further details or explanations?

Relative questions:

  1. How would the price change if the seller bought only 4 durians?
  2. What would the price be if the seller received Rp50,000 in change instead?
  3. How would you calculate the price if the cost per durian changed to Rp25,000?
  4. What if the seller had bought 10 durians instead of 12 or 8?
  5. How would you adjust the calculation if there were no change received?

Tip:

When solving word problems, always break down the information step by step to avoid confusion and ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Unit Price Calculation
Proportion

Formulas

Total cost = Total paid - Change received
Unit price = Total cost / Number of items
Cost for fewer items = Unit price * Number of items

Theorems

Proportional relationships

Suitable Grade Level

Grades 5-7