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The Junk Seller - Basic Profit and Loss

Grade 4CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Cost Price (CP): This is the amount of money a junk seller or shopkeeper pays to buy items from others. Visually, imagine a shopkeeper handing over money to a large truck driver to get sacks of newspapers or plastic.

Selling Price (SP): This is the price at which the junk seller sells the collected items to a big shop or factory. In your mind, visualize the seller receiving cash from a buyer and putting it into their cash box.

Profit (Gain): If the Selling Price is more than the Cost Price (SP>CPSP > CP), the seller makes a profit. Visually, this is like a bar graph where the 'Selling Price' bar is taller than the 'Cost Price' bar, and the difference is the extra money earned.

Loss: If the Selling Price is less than the Cost Price (CP>SPCP > SP), the seller suffers a loss. Imagine starting with 10 coins to buy something but only getting 8 coins back when you sell it; the 2 missing coins represent the loss.

The Rate List: A table that shows the price of 1 kg of different items (like waste paper, brass, or iron). To find the total cost, you look at the 'Price per kg' on the list and multiply it by the weight of the item you have.

Loan and Interest: A loan is money borrowed from a bank or a person for a specific time. Interest is the extra money paid back along with the borrowed amount. Visualize a timeline where you borrow 100₹ 100 today and pay back 110₹ 110 after a month; the extra 10₹ 10 is the interest.

Multiplication by Expansion (Box Method): A way to multiply large numbers by breaking them into smaller parts (like 63×1063 \times 10 being 60×1060 \times 10 and 3×103 \times 10). Visually, this looks like a grid where you calculate areas of smaller boxes to find the total sum.

📐Formulae

Profit=SPCPProfit = SP - CP

Loss=CPSPLoss = CP - SP

TotalCost=Price per kg×Total WeightTotal Cost = Price \text{ per kg} \times \text{Total Weight}

SP=CP+ProfitSP = CP + Profit

CP=SP+LossCP = SP + Loss

Interest=Total Amount Paid BackLoan AmountInterest = \text{Total Amount Paid Back} - \text{Loan Amount}

💡Examples

Problem 1:

Kiran buys 1 kg of plastic for 12₹ 12 and sells it for 15₹ 15. How much money does she earn (profit) on selling 40 kg of plastic?

Solution:

  1. Profit on 1 kg = SPCP=1512=3SP - CP = ₹ 15 - ₹ 12 = ₹ 3.
  2. Total weight sold = 4040 kg.
  3. Total profit = 40×3=12040 \times ₹ 3 = ₹ 120.

Explanation:

To find the total earnings, we first calculate the profit made on a single unit (1 kg) and then multiply that profit by the total number of units sold.

Problem 2:

Hariya takes a loan of 500₹ 500 from a bank. He pays back 90₹ 90 every month for 6 months. How much extra money did he pay to the bank?

Solution:

  1. Monthly installment = 90₹ 90.
  2. Total repayment over 6 months = 90×6=540₹ 90 \times 6 = ₹ 540.
  3. Loan amount taken = 500₹ 500.
  4. Extra money (Interest) = 540500=40₹ 540 - ₹ 500 = ₹ 40.

Explanation:

The extra money paid is the interest. We find the total amount paid back by multiplying the monthly payment by the number of months, and then subtract the original loan amount.