Accounting Equation:
The accounting equation represents the fundamental relationship between a company's assets, liabilities, and owner's equity. It can be expressed as:

Assets = Liabilities + Owner's Equity

Transaction:
Goods costing Rs 48,000 were sold at a profit of 33 1/3%. Three-fourth of the payment was received in cash.

Analysis:
To prepare the accounting equation, we need to consider the impact of the transaction on the different elements of the equation. Let's break down the transaction and analyze its effect on each component.

1. Assets:
Assets are economic resources owned by a company. In this transaction, we have two types of assets involved:
- Cash: The cash received from the sale of goods will increase the cash balance.
- Inventory: The goods costing Rs 48,000 are no longer held as inventory after they are sold.

2. Liabilities:
Liabilities represent the company's obligations or debts. Since the transaction does not involve any liabilities, there will be no impact on this component of the equation.

3. Owner's Equity:
Owner's equity represents the owner's residual interest in the business. It can be calculated by subtracting liabilities from assets. As the liabilities are unaffected, any change in assets will directly impact the owner's equity.

Calculation:
To calculate the profit and the amount received in cash, we need to follow these steps:

Step 1: Calculate the selling price by adding the profit percentage to the cost price.
Selling Price = Cost Price + (Profit Percentage * Cost Price)
Selling Price = Rs 48,000 + (33 1/3% * Rs 48,000)
Selling Price = Rs 48,000 + (1/3 * Rs 48,000)
Selling Price = Rs 48,000 + Rs 16,000
Selling Price = Rs 64,000

Step 2: Calculate the profit.
Profit = Selling Price - Cost Price
Profit = Rs 64,000 - Rs 48,000
Profit = Rs 16,000

Step 3: Calculate the amount received in cash.
Cash received = Three-fourth of the selling price
Cash received = (3/4) * Rs 64,000
Cash received = Rs 48,000

Accounting Equation:
Now, let's prepare the accounting equation based on the analysis and calculations:

Assets = Liabilities + Owner's Equity

Assets:
- Cash: Rs 48,000 (Increase)
- Inventory: Rs 0 (Decrease)

Liabilities: No change

Owner's Equity:
- Profit: Rs 16,000 (Increase)

Final Accounting Equation:
Assets = Liabilities + Owner's Equity
Rs 48,000 + Rs 0 = Rs 0 + Rs 16,000

Key Points:
- The accounting equation represents the relationship between assets, liabilities, and owner's equity.
- Assets are economic resources owned by a company, such as cash and inventory.
- Liabilities represent the company's obligations or debts.
- Owner's equity is the residual interest of the owner in the business.
- The transaction involves the sale of goods costing Rs 48,000 at a