if some money increase 3 times in 15 years 6 months. In how many years money will increase 2 times
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Class 11
>>Applied Mathematics
>>Basics of financial mathematics
>>Accumulation with simple and compound interest
>>A sum of money triples itself in 15 year
Question

A sum of money triples itself in 15 years 6 months. In how many years would it double itself?
A
6 years 3 months
B
7 years 9 months
C
8 years 3 months
D
9 years 6 months
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Solution

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Correct option is B)
⇒ Let sum be x then, S.I will be 2x.
⇒ Time = 1521years=231years
∴ Rate=[x×231100×2x]%
∴ Rate=31400%
⇒ Now, Sum=x,S.I=x and R=31400%
⇒ Time=x×31400100×x
⇒ T=431years
∴ T=7years9months.
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