Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Understanding a Bill: A bill is a paper statement or receipt given by a shopkeeper to a customer after a purchase. It acts as a record of what was bought and how much was paid. Visually, it is structured like a table with clearly defined rows for each item and columns for details like Quantity and Price.
The Rate Column: The 'Rate' refers to the price of exactly one unit of an item. For example, if the rate of a notebook is , it means one notebook costs . In a bill, this is usually found in a column next to the item name.
Calculating Individual Amounts: To find the 'Amount' for a specific item, you must multiply the Rate by the Quantity. For instance, if you buy pencils at a rate of each, the amount for pencils is . Visually, this calculation happens across a single row.
The Structure of a Bill: A standard bill includes a header with the Shop Name, Date, and Bill Number. Below the header, there are columns for Serial Number (S.No.), Particulars (Item Name), Quantity, Rate, and Amount. This grid-like layout helps in organizing information clearly.
The Grand Total: The 'Total' or 'Grand Total' is the sum of all the values in the 'Amount' column. It represents the final amount the customer needs to pay. In a bill, this is typically written at the very bottom, often highlighted with a double line underneath to show the end of the calculation.
Dealing with Rupees and Paise: Amounts are written using a decimal point to separate Rupees from Paise. For example, represents Rupees and Paise. When adding these in a bill, it is crucial to align the decimal points vertically, just like a straight line, to ensure the addition is correct.
Writing the Total in Words: Often at the bottom of a bill, the total amount is written in words (e.g., 'Rupees Fifty Only') to prevent any confusion or changes to the final figure. This provides a clear, textual confirmation of the final numerical total.
📐Formulae
💡Examples
Problem 1:
Arjun went to a stationery shop and bought 5 pens at each and 2 drawing books at each. Prepare a simple bill and find the total amount he paid.
Solution:
- Calculate Amount for Pens: , . . \n2. Calculate Amount for Drawing Books: , . . \n3. Calculate Grand Total: .
Explanation:
To solve this, we first find the cost of each item type by multiplying the quantity by its rate. Then, we add these individual costs together to find the final bill amount.
Problem 2:
Mrs. Sharma bought 3 kg of sugar at per kg and 1 kg of flour for . Calculate the total bill amount.
Solution:
- Amount for Sugar: . \n2. Amount for Flour: . \n3. Grand Total: .
Explanation:
When dealing with decimals, multiply the rate by the quantity as if they were whole numbers and then place the decimal point two places from the right. Finally, add the values by aligning the decimals.