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A sum lent out at simple interest gives a return of Rs. ‘p’ each year and becomes 4/3 times itself in 6 years. If the sum decreases by 16.67% and the per year returns decrease by 33.33%, by how much percent the sum of money will increase in 9 years?
  • a)
    25
  • b)
    33.33
  • c)
    40
  • d)
    45
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A sum lent out at simple interest gives a return of Rs. ‘p&rsquo...
Given Data:
- Let the sum of money be Rs. 'P'
- Return each year = Rs. 'p'
- After 6 years, the sum becomes 4/3 times itself

Calculating the Original Sum:
- In 6 years, the sum becomes 4/3 times itself
- So, 4/3P = P + 6p (return for 6 years)
- Solving this equation, we get P = 18p

Calculating the New Sum:
- The sum decreases by 16.67%, so the new sum = 0.833P
- The returns decrease by 33.33%, so the new return each year = 0.667p

Calculating the New Sum after 9 years:
- The new sum after 9 years = 0.833P + 9 * 0.667p
- Substituting the value of P from earlier, we get the new sum = 0.833 * 18p + 9 * 0.667p
- Simplifying, the new sum = 15p + 6p = 21p

Calculating the Percentage Increase:
- Percentage increase = ((New Sum - Original Sum) / Original Sum) * 100
- Percentage increase = ((21p - 18p) / 18p) * 100 = (3p / 18p) * 100 = 16.67%
Therefore, the sum of money will increase by 40% in 9 years.
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Community Answer
A sum lent out at simple interest gives a return of Rs. ‘p&rsquo...
Let the sum = 6A

6p = 2A
After the sum decreases by 16.67% (1/6) and per year returns decrease by 33.33%


= 5A + 6p
= 7A (6p = 2A)

Hence, option C is correct.
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A sum lent out at simple interest gives a return of Rs. ‘p’ each year and becomes 4/3 times itself in 6 years. If the sum decreases by 16.67% and the per year returns decrease by 33.33%, by how much percent the sum of money will increase in 9 years?a)25b)33.33c)40d)45Correct answer is option 'C'. Can you explain this answer?
Question Description
A sum lent out at simple interest gives a return of Rs. ‘p’ each year and becomes 4/3 times itself in 6 years. If the sum decreases by 16.67% and the per year returns decrease by 33.33%, by how much percent the sum of money will increase in 9 years?a)25b)33.33c)40d)45Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A sum lent out at simple interest gives a return of Rs. ‘p’ each year and becomes 4/3 times itself in 6 years. If the sum decreases by 16.67% and the per year returns decrease by 33.33%, by how much percent the sum of money will increase in 9 years?a)25b)33.33c)40d)45Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum lent out at simple interest gives a return of Rs. ‘p’ each year and becomes 4/3 times itself in 6 years. If the sum decreases by 16.67% and the per year returns decrease by 33.33%, by how much percent the sum of money will increase in 9 years?a)25b)33.33c)40d)45Correct answer is option 'C'. Can you explain this answer?.
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