A sum of money doubles itself at compound interest in 15 years. In how many years will it become eight times?
A sum of money doubles itself at compound interest in 15 years. In how many years will it become eight times?
एक धनराशि चक्रवृद्धि ब्याज पर 15 वर्षों में दोगुनी हो जाती है। वह कितने वर्षों में 8 गुनी हो जाएगी?
Detailed Solution & Logic
Correct Answer:
45
Explanation
If a sum doubles in 15 years, then
$ (1 + r)^{15} = 2 $
To become 8 times:
$ 8 = 2^3 $
So, the amount must double 3 times.
Time required = $3 \times 15 = 45$ years
यदि राशि 15 वर्षों में दोगुनी होती है, तो
$ (1 + r)^{15} = 2 $
अब 8 गुना बनने के लिए:
$ 8 = 2^3 $
अर्थात राशि को 3 बार दोगुना होना होगा
समय = $3 \times 15 = 45$ वर्ष
Final Answer: 45 years
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