Question

at how much rate a sum becomes double in 16 year​

Answer 1

Answer:

Given: A sum doubles in 16 year.

Step-by-step explanation:

A sum doubles itself in 16 years .

To find how many times will it be in 8 years .

Suppose we have any sum of Money say 100.

Question says sum becomes double in 16 years ie 100 will become (100+100)=200.

Therefore it increases 100% in 16 year Eg.If I deposite $100 in bank then according to question,I would get $200( $100 which i deposited and $100 extra as interest) .

So if it increase 100% in 16 year then in 8 years it would increase 50%.

If i deposite $100 in 8 yrs I would get 50% extra on 100 ie (100+50=150).

So 1.50 or One and half times is the answer for this problem . Cheers|

Answer 2

SOLUTION

GIVEN

In 16 years a sum becomes double

TO DETERMINE

The rate of interest

EVALUATION

Let the original amount = Rs. P

Then by the given amount after 16 years

= Rs. 2P

Thus we have

Principal = P

Interest = I = 2P - P = P

Rate of interest = R%

Time = T years = 16 years

So by the given condition

$\displaystyle \sf{ I = \frac{PRT}{100} }$

$\displaystyle \sf{ \implies P = \frac{P \times R \times 16}{100} }$

$\displaystyle \sf{ \implies 1 = \frac{ R \times 16}{100} }$

$\displaystyle \sf{ \implies R = \frac{ 100}{16} }$

$\displaystyle \sf{ \implies R = 6.25}$

FINAL ANSWER

Hence the required rate of interest = 6.25%

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