Multiple choice

A certain amount double in 5 years, when invested at simple interest. In how many years will it become 8 times? साधारण ब्याज पर निवेश करने पर 5 वर्षों में कोई धनराशि दोगुनी हो जाती है । कितने वर्षों में यह 8 गुनी हो जाएगी?

  1. 35

  2. 40

  3. 30

  4. 45

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A Correct answer
Explanation

Amount doubles in 5 years at simple interest, so P + SI = 2P. This means SI = P in 5 years. Annual interest = P/5 = 0.2P. For amount to become 8P: P + n × 0.2P = 8P. Therefore n × 0.2P = 7P, giving n = 7/0.2 = 35 years.