Quant Exam  >  Quant Questions  >  Pratap lent Rs.21600 to be divided between hi... Start Learning for Free
Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?
  • a)
    15 Years
  • b)
    16 years
  • c)
    18 years
  • d)
    21 years
  • e)
    Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Pratap lent Rs.21600 to be divided between his two sons who aged 9 yea...
x+y = 21600

x/y = 51/57

x = 10200 y = 11400

10200+10200 x 10 x (X-9)/100 = 11400+11400 x 10 x (X-11)/100

X = 18
View all questions of this test
Most Upvoted Answer
Pratap lent Rs.21600 to be divided between his two sons who aged 9 yea...
Given:
- Pratap lent Rs. 21600 to his two sons.
- The sons are aged 9 years and 11 years.
- The lent amount is divided in the ratio of 51:57 between the two sons.
- The rate of interest is 10% per annum.
- We need to find the age at which both sons receive the same amount.

Approach:
1. Let's assume that the amount received by the younger son after 'x' years will be 'A' and the amount received by the elder son after 'x' years will be 'B'.
2. We can write the formula for simple interest as: Simple Interest (SI) = Principal (P) x Rate (R) x Time (T).
3. According to the given information, the principal amount is divided in the ratio of 51:57.
4. So, the principal amount received by the younger son after 'x' years will be (51/108) * 21600 = (17/36) * 21600 = 10200 + 600 = Rs. 10800.
5. Similarly, the principal amount received by the elder son after 'x' years will be (57/108) * 21600 = (19/36) * 21600 = 11400 + 600 = Rs. 12000.
6. We can now set up the equation: A + (A * 10 * x)/100 = B + (B * 10 * x)/100, where A = Rs. 10800 and B = Rs. 12000.
7. Simplifying the equation, we get: 11 * A * x = 10 * B * x.
8. Canceling out 'x' from both sides of the equation, we get: 11A = 10B.
9. Substituting the values of A and B, we get: 11 * 10800 = 10 * 12000.
10. Solving the above equation, we get: 118800 = 120000.
11. As the equation is not true, we can conclude that the sons will not receive the same amount at any age.

Conclusion:
- The correct answer is option 'e' - Cannot be determined.
- According to the given information, the sons will not receive the same amount at any age.
Free Test
Community Answer
Pratap lent Rs.21600 to be divided between his two sons who aged 9 yea...
Answer –3.18 years Explanation : x+y = 21600 x/y = 51/57 x = 10200 y = 11400 10200+10200*10*(x-9)/100 = 11400+11400*10*(x-11)/100 x = 18
Explore Courses for Quant exam
Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
Question Description
Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect 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 Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect 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 Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect 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 Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Pratap lent Rs.21600 to be divided between his two sons who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in the ratio of 51:57 respectively.Then at what age both received same amount?a)15 Yearsb)16 yearsc)18 yearsd)21 yearse)Cannot be determinedCorrect 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.
10M+ students study on EduRev