Comprehension

Answer these questions based on the data given in the following table. The table shows the instalment amounts for monthly repayments (in Rupees) on housing society loans for different periods.

Years

Loan10152025
1,00,00012501050900850
2,00,0002500205018001600
10,00,000129501030090008450
15,00,00019400154501350012650
20,00,00025900206001800016800

Question: 1

How much more money would be paid on a loan of Rs. 20,00,000 taken out over 20 years compared to the same loan taken over a period of 15 years?

Updated On: Sep 25, 2024
  • Rs. 3,00,000
  • Rs. 4,25,000
  • Rs. 5,50,000
  • Rs. 6,12,000
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The Correct Option is D

Solution and Explanation

The correct option is (D): Rs. 6,12,000
Explanation: To determine how much more money would be paid on a loan of Rs. 20,00,000 taken out over 20 years compared to the same loan taken over a period of 15 years, we can use the information from the table.
Step 1: Find monthly repayments for each period
From the table:
- For a loan of Rs. 20,00,000:
- 15 years: Monthly repayment = Rs. 20,600
 - 20 years: Monthly repayment = Rs. 18,000
Step 2: Calculate total payments for each period
Total Payment for 15 Years
\[\text{Total Payment} = \text{Monthly Repayment} \times \text{Number of Months}\]
\[\text{Total Payment (15 years)} = 20,600 \times 15 \times 12 = 20,600 \times 180 = Rs. 37,08,000\]
Total Payment for 20 Years
\[\text{Total Payment (20 years)} = 18,000 \times 20 \times 12 = 18,000 \times 240 = Rs. 43,20,000\]
Step 3: Calculate the difference in total payments
\[\text{Difference} = \text{Total Payment (20 years)} - \text{Total Payment (15 years)}\]
\[\text{Difference} = 43,20,000 - 37,08,000 = Rs. 6,12,000\]
Conclusion
The amount of money paid more on a loan of Rs. 20,00,000 taken over 20 years compared to 15 years is Rs. 6,12,000.
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Question: 2

What is the total amount repaid over 25 years on a loan of Rs. 15,00,000?

Updated On: Sep 25, 2024
  • Rs. 22,50,000
  • Rs. 37,95,000
  • Rs. 45,30,000
  • Rs. 55,70,000
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The Correct Option is B

Solution and Explanation

The correct option is (B): Rs. 37,95,000
Explanation:
To find the total amount repaid over 25 years on a loan of Rs. 15,00,000, we can refer to the table for the monthly repayment amount.
Step 1: Find the monthly repayment for Rs. 15,00,000 over 25 years
From the table:
- For a loan of Rs. 15,00,000 over 25 years, the monthly repayment is Rs. 12,650.
Step 2: Calculate the total payments over 25 years
\[\text{Total Payment} = \text{Monthly Repayment} \times \text{Number of Months}\]
\[\text{Total Payment} = 12,650 \times 25 \times 12 = 12,650 \times 300\]
\[\text{Total Payment} = 37,95,000\]
Conclusion
The total amount repaid over 25 years on a loan of Rs. 15,00,000 is Rs. 37,95,000.
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Question: 3

The monthly repayment on o loan of Rs. 15,00,000 over 20 years is reduced to Rs. 12500. By how much would this reduce the total amount on the loan over the full period?

Updated On: Sep 25, 2024
  • Rs. 1,30,000
  • Rs. 2,40,000
  • Rs. 2,24,000
  • Rs. 1,26,000
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The Correct Option is B

Solution and Explanation

The correct option is (B): Rs. 2,40,000
Explanation:To determine how much the total amount paid on a loan of Rs. 15,00,000 over 20 years is reduced by lowering the monthly repayment to Rs. 12,500, we can follow these steps:
Step 1: Find the original monthly repayment for Rs. 15,00,000 over 20 years
From the table:
- For a loan of **Rs. 15,00,000 over 20 years, the monthly repayment is Rs. 13,500.
Step 2: Calculate the total payment with the original monthly repayment
\[\text{Original Total Payment} = 13,500 \times 20 \times 12\]
\[\text{Original Total Payment} = 13,500 \times 240 = 32,40,000\]
Step 3: Calculate the total payment with the reduced monthly repayment
\[\text{Reduced Total Payment} = 12,500 \times 20 \times 12\]
\[\text{Reduced Total Payment} = 12,500 \times 240 = 30,00,000\]
Step 4: Calculate the reduction in total amount paid
\[\text{Reduction} = \text{Original Total Payment} - \text{Reduced Total Payment}\]
\[\text{Reduction} = 32,40,000 - 30,00,000 = 2,40,000\]
Conclusion
The reduction in the total amount paid on the loan over the full period is Rs. 2,40,000.
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Question: 4

Instead of taking a loan of Rs. 10,00,000 with o repayment period of 15 years, the society proposes to take a loan of Rs. 15,00,000 to be paid back in 10 years to provide for a generator set. What is the cumulative financial impact?

Updated On: Sep 25, 2024
  • Rs. 4,54,000
  • Rs. 4,74,000
  • Rs. 5,67,000
  • Cannot be assessed
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The Correct Option is B

Solution and Explanation

The correct option is (B): Rs. 4,74,000
Explanation: To calculate the cumulative financial impact of the two loan options, we'll need to determine the total repayments for both scenarios and then find the difference.
Step 1: Loan of Rs. 10,00,000 over 15 years
From the table, the monthly repayment for a loan of **Rs. 10,00,000** over **15 years** is **Rs. 10,300**.
Total repayment for Rs. 10,00,000:
\[\text{Total Repayment} = 10,300 \times 15 \times 12\]
\[\text{Total Repayment} = 10,300 \times 180 = 18,54,000\]
Step 2: Loan of Rs. 15,00,000 over 10 years
From the table, the monthly repayment for a loan of Rs. 15,00,000 over 10 years is Rs. 19,400.
Total repayment for Rs. 15,00,000:
\[\text{Total Repayment} = 19,400 \times 10 \times 12\]
\[\text{Total Repayment} = 19,400 \times 120 = 23,28,000\]
Step 3: Calculate the cumulative financial impact
Impact:
\[\text{Cumulative Financial Impact} = \text{Total Repayment (15 years)} - \text{Total Repayment (10 years)}\]
\[\text{Cumulative Financial Impact} = 23,28,000 - 18,54,000 = 4,74,000\]
Conclusion
The cumulative financial impact of taking the larger loan over a shorter period is Rs. 4,74,000.
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