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Question

A sum of money trebles itself  in 15 years 6 months . In how  many years would it double itself ?


Options:
A .  6 years 3 months
B .  7 years 9 months
C .  8 years 3 months
D .  9 years 6 months
Answer: Option B

Let sum =  `x` , Then , S.I. = `2x` , Time =  `15 1/2` years = `31/2` years

`:.`      Rate = `((100 xx 2x)/(x xx 31/2))`% = `400/31`%

Now , sum  = `x`    S.I. =  `x`    Rate =    `400/31`%

`:.`          Time = `(100 xx x)/(x xx 400/31)` = ` 31/4` years =  7 years 9 months.




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