Multiple choice

A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to Rs 250 less than the sum lent. What was the sum lent (in Rs)? एक व्यक्ति किसी निश्चित राशि को 5% की वार्षिक दर से साधारण ब्याज पर उधार देता है तथा 15 वर्षों में संयोजित ब्याज की राशि उधार दी गई राशि से 250 रु. कम है । उधार दी गई राशि (रु. में) कितनी थी?

  1. 1000

  2. 1500

  3. 2400

  4. 3000
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A Correct answer
Explanation

Let sum lent = P. Simple interest after 15 years at 5% = P × 5 × 15/100 = 0.75P. Given: 0.75P = P - 250, so 0.25P = 250, giving P = 1000. Verification: Interest on 1000 for 15 years at 5% = 1000 × 0.05 × 15 = 750, which is indeed 250 less than 1000.

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