Verified by Ajay Kumar
An amount is said to double in 5 years with compound interest. How many years will it take for the amount to grow to 8 times its original value?
25
20
15
10
Answer: C
The amount doubles every 5 years. Since \(8=2^3\), it must double three times to become eight times its original value. Required time \(=3\times5=15\) years. Trick: Express the required multiple as a power of 2.
एक राशि चक्रवृद्धि ब्याज के साथ 5 वर्षों में दोगुनी हो जाती है। इस राशि को अपने मूल मूल्य से 8 गुना होने में कितने वर्ष लगेंगे?
25
20
15
10
उत्तर: C
राशि प्रत्येक 5 वर्ष में दोगुनी होती है। चूँकि \(8=2^3\), इसलिए मूल राशि की आठ गुनी होने के लिए राशि का तीन बार दोगुना होना आवश्यक है। आवश्यक समय \(=3\times5=15\) वर्ष। ट्रिक: आवश्यक गुणक को 2 की घात के रूप में लिखें।
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