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
Similar Practice Questions
What is the compound interest on a sum of ₹25,000 after three years at a rate of 12 per cent per annum interest compounded yearly?
What is the compound interest on a sum of ₹25,000 after three years at a...
In how many years does a sum of money become three times of itself at the rate of $6\frac{1}{4}$ % simple interest per annum?
In how many years does a sum of money become three times of itself at...
The difference between the compound
The difference between the compound interest, compounded annually and the simpleinterest if ₹17,700 is deposited...
Sapna invested ₹20,900 on simple interest, partly at 9% per annum and partly at 13% per annum. If she earns equal interests from the two investments after 3 years, then find the sum invested at 9% per annum (in ₹).
Sapna invested ₹20,900 on simple interest, partly at 9% per annum and partly at 13%...
Amit invests a sum of ₹5400 and Gopal
Amit invests a sum of ₹5400 and Gopal invests a sum of ₹9400 at the...
A sum of money becomes \(\frac{7}{6}\) of itself in 3 years at a certain rate of simple interest. What is the rate per annum?
A sum of money becomes \(\frac{7}{6}\) of itself in 3 years at a certain rate...
Amit invests a sum of ₹5400
Amit invests a sum of ₹5400 and Gopal invests a sum of ₹9400 at the...