Let sum = `x` Then amount = `(7x)/(6)`
S.I. = `((7x)/(6) - x)` = `x/6` Time = 3 years
`:.` Rate = `((100 xx x)/(x xx 6 xx 3))`% = `50/9`% = `5 5/9`%
Let the sum be `x` . Then , S.I. = 40% of `x = (2x)/(5)` , Rate = 5%
`:.` Time = `(100 xx (2x)/(5) xx (1)/(x xx 5))` = 8 years .
Let sum = `x` , Then , S.I. = 0.125`x` = `1/8 x` , R + 10%
`:.` Time = `((100 xx x)/(x xx 8 xx 10))`years = `5/4 `years = `1 1/4`years
Let sum = `x` Then, S.I. = `(2x)/(5)`, Time = 10 years
`:.` Rate = `((100 xx 2x)/(x xx 5 xx 10))`% = 4%
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.
Let sum = `x` , Then , S.I. = `x/2`
`:.` `x/2 = (x xx 8 xx 6)/(100)`
Clearly data is inadequae
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 .
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 .
Let sum = `x` . Then , S.I. = `x`
`:.` Rate =`((100 xx x)/(x xx 6))`% = `50/3`%
Now , sum = `x` , S.I. = `3x` , Rate = `50/3`%
`:.` Time = `((100 xx 3x)/(x xx 50/3))` = 18 years.
Let sum = `x`. Then , S.I. = 3`x`
`:.` Rate = `((100 xx S.I.)/(P.T.))`
=`((100 xx 3x)/(x xx 15))`% = 20%
Let sum = `x` , Then , S.I. = `x`
`:.` Rate = `((100 xx S.I.)/(P xx Y))`
=`((100 xx x)/(x xx 12)`% = `25/3`% = `8 1/3`%
