consider the following ststements if a sum of money is lent..., Simple Interest, General Mathematics

Question:Consider the following ststements :
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 gets doubled four times if the rate of interest is `20%`
3.money becomes four times in `10`years if it gets doubled in `5` years. of these statements,

A `1` and `3` are correct 
B `3` alone is correct 
C `2` alone is correct 
D `2` and `3` are correct

/61

+ AnswerC

+ ExplanationLet 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 & Times 

`= 5` years

Rate`= ((100 xx x)/(x xx 5))%`

`= 20%`

Now sum = x,S.I`.= 3x & Rate = 20%`

:. Time` =((100 xx 3x)/(x xx 20))`years

`= 15` years (false)

So,`2` alone is correct.

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