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Question

A sum to money becomes thrice itself in 4 years, when kept in a bank that offers a certain rate of compound interest, compounded annually, find the time in which half of the sum will become 9 times itself.

एक निश्चित धनराशि 4 वर्ष में तिगुनी हो जाती है, जब वह एक ऐसे बैंक में जमा की जाती हैं जो वार्षिक रूप से एक निश्चित चक्रवृद्धि दर पर व्याज देता है। आधी धनराशि कितने समय में स्वयं की 9 गुनी हो जाएगी।

A
4 years

4 वर्ष
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B
8 years

8 वर्ष
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C
6 years

6 वर्ष
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D
12 years

12 वर्ष
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Solution

The correct option is B 8 years

8 वर्ष
Let the principal be x.
Amount after 4 years = 3x
Amount after 8 years = 3 × 3x = 9x.

माना कि मूलधन x है।
4 वर्ष बाद राशि = 3x
8 वर्ष बाद राशि = 3 × 3x = 9x

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