Quant Exam > Quant Questions > A sum of Rs.7140 is to be divided between Ani...
Start Learning for Free
A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita is
- a)4225
- b)4352
- c)3500
- d)4000
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A sum of Rs.7140 is to be divided between Anita and Bala who are respe...
Amount got by Anita after 3 yr = Amount got by Bala after 2 yr
x*(26/25)³ = (7140 – x)*(26/25)
26/25 = 7140 – x / x
x = 3500
x*(26/25)³ = (7140 – x)*(26/25)
26/25 = 7140 – x / x
x = 3500
Most Upvoted Answer
A sum of Rs.7140 is to be divided between Anita and Bala who are respe...
To solve this question, let's assume that Anita's share is x and Bala's share is Rs. 7140 - x.
Now, we need to find the value of x.
We are given that if their shares are invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 years.
Using the compound interest formula:
A = P(1 + r/n)^(nt)
A = Final amount
P = Principal amount
r = Rate of interest
n = Number of times interest is compounded per year
t = Number of years
Since both Anita and Bala will receive equal amounts, we can set up the equation:
x(1 + 0.04/1)^(1*(21-18)) = (7140 - x)(1 + 0.04/1)^(1*(21-19))
Simplifying this equation:
x(1.04)^3 = (7140 - x)(1.04)^2
x(1.04)^3 = (7140 - x)(1.04)^2
x(1.124864) = (7140 - x)(1.0816)
1.124864x = 7140.5184 - 1.0816x
2.206464x = 7140.5184
x = 3234.40
Therefore, Anita's share is Rs. 3234.40.
To find Bala's share, we can subtract Anita's share from the total amount:
Bala's share = 7140 - 3234.40 = Rs. 3905.60
Since none of the given options match the calculated values, it appears that there is an error in the options provided. The correct answer cannot be determined from the given options.
Therefore, the correct answer is "None of these."
Now, we need to find the value of x.
We are given that if their shares are invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 years.
Using the compound interest formula:
A = P(1 + r/n)^(nt)
A = Final amount
P = Principal amount
r = Rate of interest
n = Number of times interest is compounded per year
t = Number of years
Since both Anita and Bala will receive equal amounts, we can set up the equation:
x(1 + 0.04/1)^(1*(21-18)) = (7140 - x)(1 + 0.04/1)^(1*(21-19))
Simplifying this equation:
x(1.04)^3 = (7140 - x)(1.04)^2
x(1.04)^3 = (7140 - x)(1.04)^2
x(1.124864) = (7140 - x)(1.0816)
1.124864x = 7140.5184 - 1.0816x
2.206464x = 7140.5184
x = 3234.40
Therefore, Anita's share is Rs. 3234.40.
To find Bala's share, we can subtract Anita's share from the total amount:
Bala's share = 7140 - 3234.40 = Rs. 3905.60
Since none of the given options match the calculated values, it appears that there is an error in the options provided. The correct answer cannot be determined from the given options.
Therefore, the correct answer is "None of these."
Free Test
FREE
| Start Free Test |
Community Answer
A sum of Rs.7140 is to be divided between Anita and Bala who are respe...
Amount got by Anita after 3 yr = Amount got by Bala after 2 yr
x*(26/25)³ = (7140 – x)*(26/25)
26/25 = 7140 – x / x
x = 3500
x*(26/25)³ = (7140 – x)*(26/25)
26/25 = 7140 – x / x
x = 3500
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita isa)4225b)4352c)3500d)4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
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