**Sachin's Deposit and Interest Calculation**

To calculate the interest earned and the final value of Sachin's deposit, we need to consider the principal amount, the time period, and the interest rate. Let's break down the calculation step by step.

**Given Information:**
- Principal amount (P) = $100,000
- Time period (t) = 2 years
- Simple interest rate (r) = 6%

**Calculation:**

1. Calculate the interest earned (I) using the simple interest formula:

I = (P * r * t) / 100

Substituting the given values:

I = (100,000 * 6 * 2) / 100
= (100,000 * 12) / 100
= 12,000

Therefore, the interest earned is $12,000.

2. Calculate the final value of the deposit by adding the interest earned to the principal amount:

Final Value = P + I
= 100,000 + 12,000
= 112,000

Therefore, the final value of Sachin's deposit would be $112,000.

**Explanation:**

- Principal Amount (P): The principal amount is the initial amount deposited by Sachin into his bank account. In this case, it is $100,000.

- Time Period (t): The time period is the duration for which the deposit is made. In this case, it is 2 years.

- Simple Interest Rate (r): The simple interest rate is the percentage of the principal amount that will be earned as interest over the given time period. In this case, it is 6%.

- Interest Earned (I): Using the simple interest formula, we can calculate the interest earned by multiplying the principal amount (P), interest rate (r), and time period (t), and dividing it by 100.

- Final Value: The final value of the deposit is obtained by adding the interest earned (I) to the principal amount (P). This represents the total amount that Sachin will have in his bank account after the given time period.

In this case, Sachin would earn an interest of $12,000, and the final value of his deposit would be $112,000.

112000