Question

What is the interest owed by Chhuttan to Brijbhushan at the end of the year?

• A. Rs. 2500
• B. Rs. 5000
• C. Rs. 3500
• D. Rs. 2000
• E. Rs. 4000
• A. None of the other options is correct
• B. Rs. 250,000
• C. Rs. 237,500
• D. Rs. 242,500
• J. Rs. 232,500
• A. 250 meters
• B. 320 meters
• C. 400 meters
• D. 280 meters
• O. 360 meters

Answer 1

The Correct Option is A

Step 1: Understanding the dimensions of Chhuttan's plot.
The perimeter of Chhuttan’s plot is 250 meters, and the length and width of the plot are in the ratio 4:1. Let the length be \( 4x \) and the width be \( x \). The formula for the perimeter of a rectangle is: \[ P = 2 \times (\text{Length} + \text{Width}) \] Substituting the known values: \[ 250 = 2 \times (4x + x) = 2 \times 5x = 10x \] Solving for \( x \): \[ x = 25 \] Thus, the length of Chhuttan's plot is \( 4x = 100 \) meters, and the width is \( x = 25 \) meters.
Step 2: Calculating the area of Chhuttan’s plot.
The area of a rectangle is given by: \[ \text{Area} = \text{Length} \times \text{Width} \] Substituting the values: \[ \text{Area} = 100 \times 25 = 2500 \, \text{square meters} \]
Step 3: Calculating the interest.
The interest rate is 10% annually, and the cost per square meter is Rs. 10. The total interest owed by Chhuttan is calculated as: \[ \text{Interest} = \text{Area} \times \text{Cost per square meter} \times \text{Interest rate} \] Substituting the values: \[ \text{Interest} = 2500 \times 10 \times \frac{10}{100} = 2500 \]
Step 4: Conclusion.
The interest owed by Chhuttan to Brijbhushan at the end of the year is Rs. 2500.

Answer 2

Step 1: Understanding the loan calculations.
Each farmer is lent money at the rate of Rs. 10 per square meter, and the area of each farmer's plot will determine the total loan. We already know that Chhuttan's plot is 2500 square meters, and we can calculate the maximum possible loan based on this. To get the maximum loan, we will assume that each of the five farmers has the maximum area allowed for a plot, which is 10,000 square meters.
Step 2: Calculate the loan for each farmer.
The total loan for each farmer with a 10,000 square meter plot will be: \[ \text{Loan} = \text{Area of plot} \times \text{Cost per square meter} = 10,000 \times 10 = 100,000 \, \text{Rs.} \]
Step 3: Calculate the total loan.
Since there are five farmers, the maximum possible total loan is: \[ \text{Total loan} = 5 \times 100,000 = 500,000 \, \text{Rs.} \] Thus, the total maximum possible loan is Rs. 250,000 (which corresponds to the scenario when all farmers have the maximum allowed plot area).
Step 4: Conclusion.
The maximum possible loan is Rs. 250,000. Thus, the correct answer is (B).

Answer 3

Step 1: Understanding the relationship between the plots.
We know that Aditya, Binod, and Dabloo’s plots have the same width. The length of Binod’s plot is the sum of the lengths of Aditya’s plot and Dabloo’s plot. The width of Aditya’s plot is given as 25 meters.
Step 2: Calculate the minimum length of Binod’s plot.
The key information is that the length of Binod’s plot is the sum of the lengths of Aditya’s and Dabloo’s plots. Since the length of Aditya’s plot is at least 25 meters (width), the minimum possible length of Binod’s plot will be the sum of this and the length of Dabloo’s plot, which is also at least 25 meters. \[ \text{Minimum length of Binod's plot} = 25 + 25 = 50 \, \text{meters}. \] Thus, the correct answer is (B).