Question
Consider the following statements :
If a sum of money is lent at simple interest, then the
1. money gets doubled in 5 years if the rate of interest is `16 2/3`%
2. money get doubled in 5 years if the rate of interest is 20%
3. money become four times in 10 years if it gets doubled in 5 years of these statements .
Answer: Option B
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Let sum be `x` , Then , S.I. = `x`.
1. Time = `(100 xx x)/(x xx 50/3)` = 6 years (False)
2.Time = `(100 xx x)/(x xx 20)` = 5 years (true)
3. Suppose sum = `x` , Then , S.I. = `x` and Time = 5 years
Rate = `((100 xx x)/(x xx 5))`% = 20 %
Now , sum = `x` , S.I. = `3x` and Rate = 20%
`:.` Time = `((100 xx 3x)/(x xx 20))` years = 15 years (False)
So , 2 alone is correct .
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