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Money - Conversion of Rupees and Paise

Grade 3ICSE

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

🔑Concepts

Indian Currency Units: Money in India is measured in two units: Rupees () and Paise (pp). Think of Rupees as the main unit and Paise as the smaller subunit used for change.

The Fundamental Link: The relationship between the two units is that 11 Rupee is exactly equal to 100100 Paise. Visually, imagine one large 1₹ 1 coin being exchanged for a bag containing 100100 tiny 1p1 p coins.

Conversion of Rupees to Paise: To convert Rupees into Paise, we multiply the amount by 100100. A simple visual trick is to remove the symbol and the decimal point (dot). For example, 4₹ 4 becomes 400p400 p.

Conversion of Paise to Rupees: To convert Paise into Rupees, we divide the amount by 100100. Visually, this means counting two digits from the right side of the number and placing a dot (.) before them, then adding the symbol at the start.

Using the Decimal Point: In written money like 12.50₹ 12.50, the dot acts as a wall. The numbers to the left of the dot represent whole Rupees, and the two digits to the right represent the Paise.

Handling Single Digit Paise: When Paise is less than 1010 (like 5p5 p or 8p8 p), we must use a zero as a placeholder after the dot when writing in Rupees. For example, 88 paise is written as 0.08₹ 0.08. This ensures we don't confuse it with 8080 paise (0.80₹ 0.80).

Combining Rupees and Paise: To convert an amount that has both Rupees and Paise into total Paise, convert the Rupees first and then add the remaining Paise. For example, 2₹ 2 and 50p50 p is 200p+50p=250p200 p + 50 p = 250 p.

📐Formulae

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

Amount in Paise=Amount in Rupees×100\text{Amount in Paise} = \text{Amount in Rupees} \times 100

Amount in Rupees=Amount in Paise÷100\text{Amount in Rupees} = \text{Amount in Paise} \div 100

💡Examples

Problem 1:

Convert 25.50₹ 25.50 into paise.

Solution:

Step 1: Identify the Rupees and Paise. Here, we have 2525 Rupees and 5050 Paise. Step 2: Convert Rupees to Paise by multiplying by 100100: 25×100=2500 paise25 \times 100 = 2500 \text{ paise}. Step 3: Add the remaining 5050 paise to the result: 2500+50=2550 paise2500 + 50 = 2550 \text{ paise}. Final Answer: 2550p2550 p.

Explanation:

To convert to paise, we shift the focus from the larger unit to the smaller unit by multiplying the whole Rupees by 100100 and adding the extra change.

Problem 2:

Convert 805805 paise into Rupees and Paise using a decimal point.

Solution:

Step 1: Take the number 805805. Step 2: To convert to Rupees, we divide by 100100 or count two places from the right to place a dot. Step 3: Counting from the right: the first digit is 55, the second is 00. Place the dot before 00. Step 4: The number becomes 8.058.05. Add the Rupee symbol . Final Answer: 8.05₹ 8.05.

Explanation:

Since 100100 paise make 11 rupee, the hundreds place tells us the number of rupees, while the tens and ones places tell us the remaining paise.