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A sum of Rs. 16,000 invested at ‘r’% p.a. simple interest becomes Rs. 23,200 in ‘5r’ years. For how many years the sum of money was invested?
  • a)
    7.5
  • b)
    10
  • c)
    15
  • d)
    12
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A sum of Rs. 16,000 invested at ‘r’% p.a. simple interest ...

r = 3
So, time for which the sum is invested = 5r = 15 years
Hence, Option C is correct.
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Community Answer
A sum of Rs. 16,000 invested at ‘r’% p.a. simple interest ...
Given information:
- Principal amount (P) = Rs. 16,000
- Simple interest rate (r) = r%
- Amount after '5r' years = Rs. 23,200

Formula for Simple Interest:
Simple Interest (SI) = P * r * t / 100

Calculation:
- SI = 23,200 - 16,000 = Rs. 7,200
- Time (t) = 5r years

Substitute values in the formula:
7,200 = 16,000 * r * 5r / 100
7,200 = 800r^2
r^2 = 9
r = 3

Time taken to reach Rs. 23,200:
t = 5r = 5 * 3 = 15 years
Therefore, the sum of money was invested for 15 years. So, the correct answer is option 'C'.
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A sum of Rs. 16,000 invested at ‘r’% p.a. simple interest becomes Rs. 23,200 in ‘5r’ years. For how many years the sum of money was invested?a)7.5b)10c)15d)12Correct answer is option 'C'. Can you explain this answer?
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