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A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to Rs 500 less than the sum lent. What was the sum lent? 
  • a)
    2000 
  • b)
    1000 
  • c)
    500 
  • d)
    250 
Correct answer is option 'A'. Can you explain this answer?
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A person lent certain sum of money at 5% per annum simple interest and...
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A person lent certain sum of money at 5% per annum simple interest and...
Given data:
Principal amount: P
Rate of interest: 5%
Time: 15 years
Interest amount: Rs 500

Formula for simple interest:
Simple Interest (SI) = (P * R * T) / 100

Given condition:
The interest amount after 15 years is Rs 500 less than the principal amount.
So,
SI = P - 500

Calculation:
Given,
SI = (P * 5 * 15) / 100
P - 500 = (P * 5 * 15) / 100
Solving the above equation:
P - 500 = (P * 75) / 100
100P - 50000 = 75P
25P = 50000
P = 2000
Therefore, the sum lent was Rs 2000.
Thus, option 'A' (2000) is the correct answer.
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A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to Rs 500 less than the sum lent. What was the sum lent?a)2000b)1000c)500d)250Correct answer is option 'A'. Can you explain this answer?
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