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The Junk Seller - Indian Currency

Grade 4CBSE

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

🔑Concepts

Indian Currency Units: The official currency of India is the Rupee (). Smaller amounts are measured in Paise (pp). The conversion rule is 1 Rupee=100 Paise1 \text{ Rupee} = 100 \text{ Paise}. Visually, imagine one 1₹ 1 coin being split into two 50-paise coins or four 25-paise coins to understand the value ratio.

Unitary Method for Total Cost: To find the total cost of several items, multiply the price of one item (the rate) by the total number of items or the weight. Visually, this is like looking at a 'Rate List' board at a junk shop where 1 kg of newspaper costs 5₹ 5, so 2 kg costs 10₹ 10.

Cost Price (CP) and Selling Price (SP): The 'Cost Price' is the money a seller pays to buy junk, and the 'Selling Price' is the money they receive when they sell it to a bigger shop. In a notebook ledger, CP is recorded as an expense (money going out) and SP is recorded as income (money coming in).

Profit and Loss: If the Selling Price is higher than the Cost Price (SP>CPSP > CP), the seller makes a Profit. If the Cost Price is higher (CP>SPCP > SP), the seller suffers a Loss. Visually, imagine a balance scale: if the 'Money Received' side is heavier than the 'Money Spent' side, you have earned a profit.

Loan and Interest: A loan is money borrowed from a bank or a person like a moneylender. Interest is the 'extra' money paid back along with the borrowed amount. For example, if you borrow 100₹ 100 and pay back 110₹ 110 after a month, the 10₹ 10 is the interest.

Mental Math Multiplication: To calculate costs quickly, use multiplication shortcuts for tens and hundreds. For instance, to calculate 6×406 \times 40, first multiply 6×4=246 \times 4 = 24 and then add a zero at the end to get 240240. This helps in calculating junk prices without using paper and pencil.

Splitting Numbers for Multiplication: Large numbers can be broken down to make multiplication easier. For example, 32×832 \times 8 can be calculated visually as (30×8)+(2×8)(30 \times 8) + (2 \times 8), which is 240+16=256240 + 16 = 256.

📐Formulae

1 Rupee=100 Paise1 \text{ Rupee} = 100 \text{ Paise}

Total Cost=Rate per unit×Total Units (or Weight)\text{Total Cost} = \text{Rate per unit} \times \text{Total Units (or Weight)}

Profit=Selling Price(SP)Cost Price(CP)\text{Profit} = \text{Selling Price} (SP) - \text{Cost Price} (CP)

Loss=Cost Price(CP)Selling Price(SP)\text{Loss} = \text{Cost Price} (CP) - \text{Selling Price} (SP)

Total Amount Paid Back=Monthly Installment×Number of Months\text{Total Amount Paid Back} = \text{Monthly Installment} \times \text{Number of Months}

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

💡Examples

Problem 1:

Kiran buys 1 kg of iron for 14₹ 14 and sells it for 16₹ 16. How much money will she earn if she sells 32 kg of iron?

Solution:

  1. Find the profit earned on 1 kg of iron: Profit on 1 kg=SPCP=1614=2\text{Profit on 1 kg} = SP - CP = ₹ 16 - ₹ 14 = ₹ 2. \n2. Find the total profit for 32 kg: Total Profit=32×2=64\text{Total Profit} = 32 \times ₹ 2 = ₹ 64.

Explanation:

We first calculate the earnings (profit) on a single unit and then multiply that profit by the total quantity sold.

Problem 2:

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

Solution:

  1. Calculate the total amount paid back: Total Paid=6 months×90=540\text{Total Paid} = 6 \text{ months} \times ₹ 90 = ₹ 540. \n2. Calculate the extra money (interest): Extra Money=540500=40\text{Extra Money} = ₹ 540 - ₹ 500 = ₹ 40.

Explanation:

To find the total repayment, we multiply the monthly installment by the time period. The difference between this total and the original loan is the interest.