Class 10 Exam > Class 10 Questions > Deepak repays his total loan of 1,18,000 by p...
Start Learning for Free
Deepak repays his total loan of ₹1,18,000 by paying every month starting with the first instalment of ₹1000. If he increases the instalment by ₹100 every month. what amount will be paid as the last instalment of loan?
- a)₹4900
- b)₹5400
- c)₹3500
- d)₹4500
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Deepak repays his total loan of 1,18,000 by paying every month startin...
1st instalment = ₹ 1000
2nd instalment = ₹ 1000 + ₹ 100 = ₹ 1100
3rd instalment = ₹ 1100 + ₹ 100 = ₹ 1200 and so on
Let number of instalments = n
∴ 1000 + 1100 + 1200 + ... up to n terms = 118000
⇒ n/2[2x1000+(n-1)100] = 118000
⇒ 100n2 + 1900n – 236000 = 0
⇒ n2 + 19n – 2360 = 0 ⇒ (n + 59)(n – 40) = 0
⇒ n = 40 (∴ n ≠ – 59)
∴ Total no. of instalments = 40
Now, last instalment = 40th instalment
∴ a40 = a + 39d = ₹ 4900
2nd instalment = ₹ 1000 + ₹ 100 = ₹ 1100
3rd instalment = ₹ 1100 + ₹ 100 = ₹ 1200 and so on
Let number of instalments = n
∴ 1000 + 1100 + 1200 + ... up to n terms = 118000
⇒ n/2[2x1000+(n-1)100] = 118000
⇒ 100n2 + 1900n – 236000 = 0
⇒ n2 + 19n – 2360 = 0 ⇒ (n + 59)(n – 40) = 0
⇒ n = 40 (∴ n ≠ – 59)
∴ Total no. of instalments = 40
Now, last instalment = 40th instalment
∴ a40 = a + 39d = ₹ 4900
Free Test
FREE
| Start Free Test |
Community Answer
Deepak repays his total loan of 1,18,000 by paying every month startin...
The question states that Deepak repays his total loan of INR 1,18,000 by paying every month, starting with the first installment of INR 1000. He increases the installment by INR 100 every month. We need to find out the amount that will be paid as the last installment of the loan.
Let's break down the problem step by step:
Step 1: Calculating the total number of installments
To find out the total number of installments, we need to determine the difference between the first and the last installment.
Let the last installment be 'x'.
The first installment is INR 1000.
The difference between the first and last installment can be calculated using the formula:
Difference = Last Installment - First Installment
Therefore, x - 1000 = (Number of installments - 1) * 100
We know that the loan amount is INR 1,18,000.
So, the total number of installments can be calculated using the formula:
Number of installments = Loan amount / First Installment
Therefore, (x - 1000) = (118000 / 1000 - 1) * 100
(x - 1000) = 117 * 100
x - 1000 = 11700
x = 11700 + 1000
x = 12700
Step 2: Calculating the last installment amount
Now that we have determined the value of 'x' as 12700, which represents the last installment, we can calculate the last installment amount.
Last Installment Amount = First Installment + (Number of installments - 1) * Increase in installment
= 1000 + (12700 - 1) * 100
= 1000 + 12699 * 100
= 1000 + 1269900
= 1270900
Therefore, the amount paid as the last installment of the loan is INR 1270900, which is not one of the given options (a, b, c, d).
Let's break down the problem step by step:
Step 1: Calculating the total number of installments
To find out the total number of installments, we need to determine the difference between the first and the last installment.
Let the last installment be 'x'.
The first installment is INR 1000.
The difference between the first and last installment can be calculated using the formula:
Difference = Last Installment - First Installment
Therefore, x - 1000 = (Number of installments - 1) * 100
We know that the loan amount is INR 1,18,000.
So, the total number of installments can be calculated using the formula:
Number of installments = Loan amount / First Installment
Therefore, (x - 1000) = (118000 / 1000 - 1) * 100
(x - 1000) = 117 * 100
x - 1000 = 11700
x = 11700 + 1000
x = 12700
Step 2: Calculating the last installment amount
Now that we have determined the value of 'x' as 12700, which represents the last installment, we can calculate the last installment amount.
Last Installment Amount = First Installment + (Number of installments - 1) * Increase in installment
= 1000 + (12700 - 1) * 100
= 1000 + 12699 * 100
= 1000 + 1269900
= 1270900
Therefore, the amount paid as the last installment of the loan is INR 1270900, which is not one of the given options (a, b, c, d).
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer?
Question Description
Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer?.
Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer?.
Solutions for Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Deepak repays his total loan of 1,18,000 by paying every month starting with the first instalment of 1000. If he increases the instalment by 100 every month. what amount will be paid as the last instalment of loan?a)4900b)5400c)3500d)4500Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup