At what percent per annum simple interest will double a sum of money in 12 years

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On what sum of money will the difference between the compound interest and simple interest for 2years be equal to Rs 25 if the rate of interest charged for both is 5% p.a.
Use the formula of compound interest and simple interest to get the principal amount.
The correct answer is: Rs 10000
Complete step by step solution:Let the principal amount = PIt is given that the rate of interest R = 5% and number of years T = 2 years.So, compound interest for 2 years = Simple interest for 2 years = It is given that compound interest - simple interest = 25 RupeesThat is, Rupees.Hence the principal amount = Rs 10000
Related Questions to study
The correct option is A 20Time period = 5 years Let the principal = P Simple interest rate = R% p.a. Pricipal doubles in 5 years, so amount after 5 years will be 2P. Simple interest = Amount - Principal Simple interest = 2P - P = P Simple interest = PRT100 P = P×R×5100 R = 20% (adsbygoogle = window.adsbygoogle || []).push({});
The correct option is C12.5% Let the sum invested be P, and the rate of interest be R. Given in 8 years, Amount=2P ⇒P+SI=2P ⇒SI=P ⇒P×T×R100=P ⇒T×R=100 ⇒R=100T=1008=12.5%
In what time would a sum double itself at 12 1 2 pa simple interest?
At what rate per cent per annum with simple interest will a sum of money double in 12.5 years?
At what rate percent simple interest a sum will double itself in 16 years?
At what rate per cent per annum simple interest will a sum doubles itself in 10 years?

Question

On what sum of money will the difference between the compound interest and simple interest for 2years be equal to Rs 25 if the rate of interest charged for both is 5% p.a.

Hint:

Use the formula of compound interest and simple interest to get the principal amount.

The correct answer is: Rs 10000

Complete step by step solution:Let the principal amount = PIt is given that the rate of interest R = 5% and number of years T = 2 years.So, compound interest for 2 years = Simple interest for 2 years = It is given that compound interest - simple interest = 25 RupeesThat is, Rupees.Hence the principal amount = Rs 10000

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Solution

The correct option is A 20Time period = 5 years Let the principal = P Simple interest rate = R% p.a. Pricipal doubles in 5 years, so amount after 5 years will be 2P. Simple interest = Amount - Principal Simple interest = 2P - P = P Simple interest = PRT100 P = P×R×5100 R = 20% (adsbygoogle = window.adsbygoogle || []).push({});

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Solution

The correct option is C12.5% Let the sum invested be P, and the rate of interest be R. Given in 8 years, Amount=2P ⇒P+SI=2P ⇒SI=P ⇒P×T×R100=P ⇒T×R=100 ⇒R=100T=1008=12.5%

In what time would a sum double itself at 12 1 2 pa simple interest?

Time = 8 years. Was this answer helpful?

At what rate per cent per annum with simple interest will a sum of money double in 12.5 years?

∴Rate of interest=12100=831%

At what rate percent simple interest a sum will double itself in 16 years?

Then S.I. = P and T = 16 yrs. Rate = 100 x P/P*16% = 6 ¼ % p.a.

At what rate per cent per annum simple interest will a sum doubles itself in 10 years?

As we know the simple interest means principle amount subtracted from final amount i.e. Hence the required rate in which the sum becomes double itself in 10 years is 10%.

percent annum simple interest double sum money years

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