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Rupees and Paise - Conversion of Rupees to Paise

Grade 3CBSE

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

🔑Concepts

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The Indian currency is measured in two units: Rupees and Paise. The symbol for Rupee is ₹₹, and the symbol for Paise is 'p'. Visualize the ₹₹ symbol as a capital 'R' with a horizontal line through the top curve.

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The fundamental relationship between the two units is that 11 Rupee is exactly equal to 100100 Paise. You can imagine one ₹1₹ 1 coin being broken down into 100100 tiny 11 p coins.

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To convert an amount from Rupees to Paise, you must multiply the number of Rupees by 100100. Visually, this is the same as writing the number of Rupees and simply adding two zeros at the end.

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When an amount is written in decimal form, such as ₹5.75₹ 5.75, the digits before the dot (55) represent the Rupees, and the digits after the dot (7575) represent the Paise. Imagine the dot acting as a fence separating the Rupees from the Paise.

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To convert a combined amount of Rupees and Paise (like ₹3₹ 3 and 5050 p) into only Paise, you first convert the Rupees into Paise and then add the extra Paise. For example, 300300 p + 5050 p results in 350350 p.

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A quick way to convert Rupees to Paise is the 'Two-Zero Rule'. If you have ₹12₹ 12, you place two zeros after 1212 to get 12001200 p. This visual shortcut helps in quick mental calculations.

📐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

₹x=(x×100) p₹ x = (x \times 100) \text{ p}

₹x and y p=(x×100+y) p₹ x \text{ and } y \text{ p} = (x \times 100 + y) \text{ p}

💡Examples

Problem 1:

Convert ₹7₹ 7 into paise.

Solution:

Step 1: Identify the amount in Rupees = 77. Step 2: Apply the formula Paise=Rupees×100\text{Paise} = \text{Rupees} \times 100. Step 3: 7×100=700 p7 \times 100 = 700 \text{ p}.

Explanation:

Since 11 Rupee contains 100100 Paise, 77 Rupees will contain 77 sets of 100100. Multiplying 77 by 100100 gives us the total in paise.

Problem 2:

Convert ₹4₹ 4 and 2525 paise into paise.

Solution:

Step 1: Convert the Rupees part to Paise: 4×100=400 p4 \times 100 = 400 \text{ p}. Step 2: Add the existing Paise to the converted amount: 400 p+25 p400 \text{ p} + 25 \text{ p}. Step 3: Total amount = 425 p425 \text{ p}.

Explanation:

In this problem, we have two parts. We turn the ₹4₹ 4 into 400400 p first. Then we add the 2525 p that we already had to get the final answer of 425425 p.