**Accounting Equation:**

The accounting equation is a fundamental principle in accounting that states that the assets of a business are equal to the liabilities and owner's equity. It is expressed as:

Assets = Liabilities + Owner's Equity

**Transaction Analysis:**

1. Nakul commenced business with cash 90,000:
- The business receives cash from Nakul, the owner, as capital.
- The cash amount of 90,000 is recorded as an increase in the assets and owner's equity of the business.

2. Bought goods for cash 30,000:
- The business purchases goods for cash.
- The cash amount of 30,000 is recorded as a decrease in assets (cash) and an increase in assets (inventory or stock).

3. Bought goods from Raman on credit 15,000:
- The business purchases goods from Raman on credit, meaning the payment will be made at a later date.
- The credit purchase of goods amounting to 15,000 is recorded as an increase in assets (inventory or stock) and an increase in liabilities (accounts payable to Raman).

**Accounting Equation Analysis:**

1. Initial accounting equation:
- Assets = Liabilities + Owner's Equity

2. After transaction 1:
- Assets (cash) increase by 90,000.
- Owner's equity increases by 90,000 (capital contribution by Nakul).
- Therefore, the updated equation is:
Assets (cash) = 90,000
Liabilities = 0
Owner's Equity = 90,000

3. After transaction 2:
- Assets (cash) decrease by 30,000.
- Assets (inventory) increase by 30,000.
- Therefore, the updated equation is:
Assets (cash) = 60,000
Assets (inventory) = 30,000
Liabilities = 0
Owner's Equity = 90,000

4. After transaction 3:
- Assets (inventory) increase by 15,000.
- Liabilities (accounts payable) increase by 15,000.
- Therefore, the updated equation is:
Assets (cash) = 60,000
Assets (inventory) = 45,000
Liabilities (accounts payable) = 15,000
Owner's Equity = 90,000

**Conclusion:**

In summary, the accounting equation is a fundamental principle in accounting that shows the relationship between assets, liabilities, and owner's equity. By analyzing the given transactions, we can see how each transaction affects the accounting equation. In this case, Nakul commenced the business with cash, purchased goods for cash, and also bought goods on credit. These transactions resulted in changes in the assets, liabilities, and owner's equity of the business, which were reflected in the updated accounting equation after each transaction.

Nakul commenced business with cash