a sum of money doubles itself in 3 yrs at a simple interest. In how many yrs will it amount to 8 times itself?
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Answer:
21 years
Step-by-step explanation:
Simple Interest= (Principal x Rate x Time)/100
If an amount doubles itself, Interest= Principal.
Also, if an amount becomes 8x Principal, Interest alone= 7x Principal.
The Rate of Interest remains the same for both cases.
For double the Principal,
Principal= (Principal x Rate x 3)/100
Thus, Rate= 100/3
Using the same rate, we can find the time for getting 8x the Principal.
(7x Principal)= (Principal x 100/3 x Time)/100
Solving the equation, we get time= 21 years.
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