Class 7 Exam  >  Class 7 Questions  >  Anita invested a certain sum of money in a ba... Start Learning for Free
Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?
  • a)
    Rs 200
  • b)
    Rs 150
  • c)
    Rs 210
  • d)
    Rs 175
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Anita invested a certain sum of money in a bank that paid simple inter...
The sum grew to Rs 240 at the end of 2 years.
At the end of another 3 years, the sum grew to Rs 300
i.e. in 3 years, the sum grew by Rs 60
Therefore, each year, it grew by Rs 20
Sum at the end of 2 years = Rs 240
Sum grew by Rs 20 each year.
Hence, in the first 2 years, sum grew by 2 × 20 = Rs 40
Therefore, sum at the beginning of the period = Sum at the end of 2 years – Rs 40
= Rs 240 – Rs 40 = Rs 200
View all questions of this test
Most Upvoted Answer
Anita invested a certain sum of money in a bank that paid simple inter...
Given information:
- Anita invested a certain sum of money in a bank that paid simple interest.
- The amount grew to Rs 240 at the end of 2 years.
- She waited for another 3 years and got a final amount of Rs 300.

To find:
- The principal amount that Anita invested at the beginning.

Solution:
Let's assume the principal amount that Anita invested is 'P' in Rs.

Step 1: Calculate the interest earned in the first 2 years:
The amount grew to Rs 240 in 2 years.
The interest earned in 2 years = Final amount - Principal amount = Rs 240 - P

Step 2: Calculate the interest earned in the next 3 years:
The final amount after 3 years is Rs 300.
The interest earned in 3 years = Final amount - Principal amount = Rs 300 - P

Step 3: Calculate the rate of interest:
Since the interest is calculated using simple interest, the rate of interest will be the same for both periods (2 years and 3 years).

Let's assume the rate of interest is 'R' (in %).

Step 4: Calculate the principal amount:
Using the formula for simple interest:
Interest = (Principal * Rate * Time) / 100

For the first 2 years:
Rs 240 - P = (P * R * 2) / 100

For the next 3 years:
Rs 300 - P = (P * R * 3) / 100

Step 5: Solve the equations:
Simplifying the equations, we get:
24000 - 100P = 2PR ... (Equation 1)
30000 - 100P = 3PR ... (Equation 2)

Multiplying Equation 1 by 3 and Equation 2 by 2:
72000 - 300P = 6PR ... (Equation 3)
60000 - 200P = 6PR ... (Equation 4)

Subtracting Equation 4 from Equation 3:
12000 - 100P = 0
100P = 12000
P = 12000 / 100
P = 120

Therefore, the principal amount that Anita invested at the beginning is Rs 120.

Conclusion:
The correct option is not provided in the given options. However, based on the solution, the principal amount that Anita invested at the beginning is Rs 120, not Rs 200 as mentioned in option A.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
Explore Courses for Class 7 exam

Top Courses for Class 7

Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer?
Question Description
Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer?.
Solutions for Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Anita invested a certain sum of money in a bank that paid simple interest. The amount grew to Rs 240 at the end of 2 years. She waited for another 3 years and got a final amount of Rs 300. What was the principal amount that she invested at the beginning?a)Rs 200b)Rs 150c)Rs210d)Rs 175Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 7 tests.
Explore Courses for Class 7 exam

Top Courses for Class 7

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev