Given that, the sum of money triples itself in 20 years
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- Solution(By Examveda Team)
- [Solved] In what time a sum of money becomes 3 times of itself at sim
- In what time a sum of money becomes 3 times of itself at simple interest rate of 10% per annum?
- Answer (Detailed Solution Below)
- Detailed Solution
- More Simple Interest Questions
- More Interest Questions
- A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
- A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
- In how many years will a certain sum become 3 times itself at 25 % per annum under simple interest?a 5b 8c 12d 6
- At what rate of interest will a sum becomes three times itself in 25 by 2 years?
- At what percent rate per annum simple interest will be a sum of money 3 times in 25 years?
- How many years does a sum of money becomes 3 times itself at 12.5% pa simple interest?
- What time will the sum of money become three times at a simple interest of 10% pa?
- In what time will a sum become 16 times of itself at 100% pa compound interest?
- At what rate of simple interest does a sum of money becomes 5 times of itself in 12 years?
- At what rate of simple interest does a sum of money become five times?
- In what time will a sum of money triples itself at 16% per annum at simple interest?
∴ P + I = 3P
∴ I = 2P
and T = 20 years
Now simple interest I = `"PRT"/100`
∴ 2P = `("P" xx "R" xx 20)/100`
∴ R = 10
∴ Rate of interest = 10% per annum
The time period is to be calculated for the condition that the sum doubles itself i.e. for the condition
P + I = 2P
i.e. I = P
i.e. `("P" xx "R" xx "T")/100 = "P"`
∴ `(10 xx "T")/100 = 1`
∴ T = 10
∴ The sum will become double of itself in 10 years.
A. 8 years
Nội dung chính
- Solution(By Examveda Team)
- [Solved] In what time a sum of money becomes 3 times of itself at sim
- In what time a sum of money becomes 3 times of itself at simple interest rate of 10% per annum?
- Answer (Detailed Solution Below)
- Detailed Solution
- More Simple Interest Questions
- More Interest Questions
- A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
- A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
- In how many years will a certain sum become 3 times itself at 25 % per annum under simple interest?a 5b 8c 12d 6
- At what rate of interest will a sum becomes three times itself in 25 by 2 years?
- At what percent rate per annum simple interest will be a sum of money 3 times in 25 years?
- How many years does a sum of money becomes 3 times itself at 12.5% pa simple interest?
- What time will the sum of money become three times at a simple interest of 10% pa?
- In what time will a sum become 16 times of itself at 100% pa compound interest?
- At what rate of simple interest does a sum of money becomes 5 times of itself in 12 years?
- At what rate of simple interest does a sum of money become five times?
- In what time will a sum of money triples itself at 16% per annum at simple interest?
Nội dung chính
- Solution(By Examveda Team)
- [Solved] In what time a sum of money becomes 3 times of itself at sim
- In what time a sum of money becomes 3 times of itself at simple interest rate of 10% per annum?
- Answer (Detailed Solution Below)
- Detailed Solution
- More Simple Interest Questions
- More Interest Questions
- A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
- A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
- In how many years will a certain sum become 3 times itself at 25 % per annum under simple interest?a 5b 8c 12d 6
- At what rate of interest will a sum becomes three times itself in 25 by 2 years?
- At what percent rate per annum simple interest will be a sum of money 3 times in 25 years?
- How many years does a sum of money becomes 3 times itself at 12.5% pa simple interest?
- What time will the sum of money become three times at a simple interest of 10% pa?
B. 10 years
C. 12 years
D. 14 years
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let principal = P}} \cr & \therefore {\text{amount = 3P}} \cr & {\text{Interest = 3P}} - {\text{P}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 2P}} \cr & {\text{According to the question,}} \cr &
{\text{2P = }}\frac{{{\text{P}} \times {\text{R}} \times {\text{20}}}}{{100}} \cr & \Rightarrow {\text{R = 10% }} \cr} $$
Let after t years it will become double
$$\eqalign{ & {\text{Hence,}} \cr & {\text{Interest = 2P}} - {\text{P = P}} \cr & \Rightarrow {\text{P = }}\frac{{{\text{P}} \times 10 \times {\text{t}}}}{{100}} \cr & \Rightarrow {\text{t = 10 years}} \cr} $$
Mohammed
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get a certain sum becomes 3 times at the rate of 8 per annum from screen.
[Solved] In what time a sum of money becomes 3 times of itself at sim
Let Principal be ‘p’ A sum of money becomes 3 times of itself, Amount, A = 3p SI = A - p = 2p ⇒ 2p = (p × 10 × t) /100 ⇒
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In what time a sum of money becomes 3 times of itself at simple interest rate of 10% per annum?
18 years 20 years 22 years 24 years
Answer (Detailed Solution Below)
Option 2 : 20 years
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Detailed Solution
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Let Principal be ‘p’
A sum of money becomes 3 times of itself,
Amount, A = 3p SI = A - p = 2p
⇒ 2p = (p × 10 × t) /100
⇒ 200/10 = t = 20 years
∴ In 20 years, a sum of money becomes 3 times of itself.
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स्रोत : testbook.com
A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
Click here👆to get an answer to your question ✍️ A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
Question
A sum becomes three times itself at compound interest in eight years. In how many years will the sum become twenty seven times itself?
A
24
B
20
C
18
D
10
Hard Open in App Solution Verified by Toppr
Correct option is A)
When interest is compounded, Amount A=P(1+
100 R ) n Given, 3P=P(1+ 100 R ) 8 =>3=(1+ 100 R ) 8 --- (1) And, 27P=P(1+ 100 R ) n =>27=(1+ 100 R ) n =>3 3 =(1+ 100 R ) n From eqn 1 =>((1+ 100 R ) 8 ) 3 =(1+ 100 R ) n =>(1+ 100 R ) 24 =(1+ 100 R ) n =>n=24
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In how many years will a certain sum become 3 times itself at 25 % per annum under simple interest?a 5b 8c 12d 6
In how many years will a certain sum become 3 times itself at 25 % per annum under simple interest?a 5b 8c 12d 6
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In how many years will a certain sum become 3 times itself at 25 % per annum under simple interest?a 5b 8c 12d 6
Question
In how many years will a certain sum become
3 times itself at 25 %
per annum under simple interest?
(a) 5 (b) 8 (c) 12 (d) 6 Open in App Solution If the sum be P . Amount ( A ) = 3 × P = 3 P Simple interest ( S . I ) = A − P = 3 P − P = 2 P Let the sum (P) be x
Then, simple interest
Rate of interest Time S . I = P × R × T 100 ⇒ T = 100 × S . I P × R = 100 × 2 x x × 25 = 4 × 2 = 8 Hence, 8 years required.
Hence, the correct option is (b).
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514-313= (a) 1223 (b) 2 (c) 11112 (d) 1112 View More
स्रोत : byjus.com
At what rate of interest will a sum becomes three times itself in 25 by 2 years?
= 8 Years. Please mark my answer as the brainliest.
At what percent rate per annum simple interest will be a sum of money 3 times in 25 years?
R=12. 5%
How many years does a sum of money becomes 3 times itself at 12.5% pa simple interest?
Solution : Let T years be the required time period. <br> Given that, <br> Amount `(A)=3 xx ` Principal (P) <br> `therefore P(1+(TR)/(100))=3P` <br> `implies 1+(12T)/(100)=3 implies T=(200)/(12)=16(2)/(3)` years <br> Hence, required time period`=16(2)/(3)` years.
What time will the sum of money become three times at a simple interest of 10% pa?
T=20 years It takes 20 years.
In what time will a sum become 16 times of itself at 100% pa compound interest?
⇒ P = X Rs. and A = 16X Rs. ⇒ T = 50 years. ∴ In 50 years a sum of money will become sixteen times.
At what rate of simple interest does a sum of money becomes 5 times of itself in 12 years?
100 becomes 500; Rate=TimeInterest=12400=33. 3%
At what rate of simple interest does a sum of money become five times?
Detailed Solution Let the principal be P. ∴ The rate of interest is 25%.
In what time will a sum of money triples itself at 16% per annum at simple interest?
A sum of money triple itself at 16% p.a. at simple interest in 12.5 years.