Read the following question from the class VI text-book:
"Prabal deposited ₹ 5,000 in a bank at the rate of `5%` interest per annum. After 2 years he withdrew the money to purchase the study table for ₹ 3,500. He deposited the money left with him again at the rate of `5%` interest per annum for another two yea₹ How much amount will he receive after two years?"
What values can be inculcated in students through this question?

Options

A. Simplicity and helping others
B. Honesty
C. Habit of saving money and spending it wisely
D. Sincerity

Answer

To solve the problem step by step, we will first calculate the total amount Prabal receives after the first two years, and then determine how much he will have after depositing the remaining amount for another two years.

### Step 1: Calculate the total amount after the first 2 years.

1. **Principal Amount (P)**: ₹ 5,000
2. **Rate of Interest (R)**: 5% per annum
3. **Time (T)**: 2 years

The formula for calculating the amount (A) after time T with simple interest is:
\[ A = P + \left( \frac{P \times R \times T}{100} \right) \]

Substituting the values:
\[ A = 5000 + \left( \frac{5000 \times 5 \times 2}{100} \right) \]
\[ A = 5000 + \left( \frac{50000}{100} \right) \]
\[ A = 5000 + 500 \]
\[ A = 5500 \]

### Step 2: Calculate the remaining amount after purchasing the study table.

Prabal withdrew ₹ 3,500 to purchase a study table. Therefore, the remaining amount after the withdrawal is:
\[ \text{Remaining Amount} = 5500 - 3500 = 2000 \]

### Step 3: Deposit the remaining amount for another 2 years.

Now, Prabal deposits ₹ 2,000 at the same rate of interest (5%) for another 2 years.

Using the same formula for the amount after 2 years:
1. **Principal Amount (P)**: ₹ 2,000
2. **Rate of Interest (R)**: 5% per annum
3. **Time (T)**: 2 years

Substituting the values:
\[ A = 2000 + \left( \frac{2000 \times 5 \times 2}{100} \right) \]
\[ A = 2000 + \left( \frac{20000}{100} \right) \]
\[ A = 2000 + 200 \]
\[ A = 2200 \]

### Final Answer:
Prabal will receive ₹ 2,200 after depositing the remaining amount for another two years.

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