9. in how many years does a sum of money becomes 3 times itself at 12.5% p.a. simple interest?

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9. in how many years does a sum of money becomes 3 times itself at 12.5% p.a. simple interest?
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Hint:- In 8 years money from Interest will be come equal to the principal
amount invested. So, money had been doubled in 8 years.

Let the initial amount of money invested will be Rs. x.
Then after 8 years money had become 2x.
Out of Rs. 2x, money from interest will be 2x – initial amount invested = 2x – x = x.
Let the rate of interest be r.

So, now we will use a simple interest formula.
According to Simple Interest (S.I) formula.
\[ \Rightarrow S.I. = \dfrac{{PRT}}{{100}}\]. Where P is principal amount, R is rate of interest and T will be time period.

So, putting the values in the above formula. We will get,
\[ \Rightarrow x = \dfrac{{xr(8)}}{{100}}\]
On solving the above equation. We will get,
\[ \Rightarrow {\text{ }}r{\text{ }} = {\text{ }}\dfrac{{100}}{8}{\text{ }} = {\text{ }}12.5\]

Hence, the rate of interest to double a money in 8 years will be 12.5% per annum.

Note:- Whenever we came up with this type of problem where we are asked to
find rate of interest then first, we will find the interest on principal amount by
subtracting principal amount from the money after 8 years and then we will
assume rate of interest to be r and then apply, Simple Interest formula and
find the required value of rate of interest.

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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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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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.

How many years does a sum of money becomes three times itself at 12.5% per annum simple interest?

∴ Time is 8 years.

How many years will a sum double itself at 12.5% pa simple interest?

∴ The principal doubles itself at 12.5% rate of interest in 8 years.

How many years will a sum of money becomes four times at 12% pa simple interest a 18 years B 21 years C 25 years D 28 years?

=(x×4100×x)years = 25 years.

In what time a sum will become three times of itself at the rate of 10% per annum?

T=20 years It takes 20 years.