Simple Interest, General Mathematics

Question: A money lender finds that due to a fall in the rate of interest from `8%` to `7 3/4%`,his yearly income diminishes by Rs.`61.50`.His capital is :
A
`Rs. 26000`

B
`Rs. 24600`

C
`Rs. 23800`

D
`Rs. 22400`

Note: Let the capital be Rs. x. Then, `(x xx 8 xx 1)/100 - x xx 31/4 xx 1/100` `= 61.50` `or 32x - 31x` `= 6150 xx 4` `:. x = 24600`
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Question: Mr.Roopchand finds that an increase in the rate of interest from `4 7/8%` to `5 1/8%` per annum increases his yearly income by Rs.`25`.His investment is :
A
`Rs. 10,000`

B
`Rs. 12,000`

C
`Rs,15,000`

D
`Rs. 20,000`

Note: Let the investment be Rs.x.Then, `x + 41/8 xx 1/100 - x xx 39/8 xx 1/100` `= 25 ⇔ 2x` `=20000 ⇔ x` `= 10000`
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Question: In how many years will a sum of money double itself at `12%`per annum ?
A
`6` years `9` month

B
`7` years` 6` month

C
`8` years `3 `month`

D
`8`years `4 ` month`

Note: Let sum = x,Then .S.I = x :. Time`= (100 xx S.I)/(sum xx Rate)` `= ((100 xx x)/(x xx 12)) years` `= 8 1/3` `= 8` years` 4` month`
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Question: If a sum of money doubles itself in `8` years at simple interest, the rate percent per annum is :
A
`11.5`

B
`12`

C
`12.5`

D
`13`

Note: Let sum = x. Then, S.I = x Rate`= ((100 xx x)/(x xx 8))%` `= 12 1/2%`
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Question: The rate at which a sum becomes four times of itself in `15` years at S.I.will be :
A
`15%`

B
`17 1/2%`

C
`20%`

D
`25%`

Note: Let sum = x.Then,S.I.= 3x. Rate`= ((100 xx 3x)/(x xx 15))%` `= 20%`
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Question: If a sum of money at simple interest in `6`years,it will become `4` times in :
A
`12 years`

B
`14 years`

C
`16 years`

D
`18 years

Note: Let sum = x.Then,S.I.= x :. Rate`= ((100 xx x)/(x xx 6))%` `= 50/3%` Now, sum = x and S.I` = 3x`, Rate`= 50/3%` :. Time`= (100 xx 3x)/(x xx 50/3)` ` = 18 years`
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Question: At a certain rate of simple interest a certain sum doubles itself in `10` years.It will treble itself in :
A
`12 years`

B
`15 years`

C
`20 years `

D
`30 years`

Note: Let sum = x.Then, S.I.= x .Time = `10` :. Rate`= ((100 xx x)/(x xx 10))%` `= 10%` Now, sum= x,S.I.= 2x, Rate`= 10%` :. Time`= (100 xx 2x)/(x xx 10) years` `= 20 years`.
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Question: A sum of money becomes`(8/5) of itself in `5`years at a certain rate of interest. The rate of interest is :
A
`5%`

B
`8%`

C
`10%`

D
`12%`

Note: Let sum = x.S.I. `= ((8x)/5 - x)` `= (3x)/5,Times = 5 years` :. Rate` = (100 xx (3x)/5 xx 1/(x xx 5))%` `= 12%`
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Question: The simple interest accrued of a sum of money at the end of four years is `1/5` of its principal. What is the rate of interest per annum ?
A
`4%`

B
`5%`

C
`6%`

D
Date inadequare

Note: Let sum = x.Then S.I `= x/5`, Times`= 4 `years :. Rate`= (100 xx x/5 xx 1/(x xx 4))%` `= 5%`
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Question: The simple interest on a sum of money at `8%` per annum for `6` years is half the sum. The sum is
A
`Rs. 4800`

B
`Rs. 6000`

C
`Rs. 8000`

D
Date inadequate

Note: Let sum = x. Then, S.I.`= x/2` `:. x/2 = (x xx 8 xx 6)/100`.Clearly,data is inadequate.
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Question: A money lender finds that due to a fall in the rate of interest from `8%` to `7 3/4%`,his yearly income diminishes by Rs.`61.50`.His capital is :

Question: Mr.Roopchand finds that an increase in the rate of interest from `4 7/8%` to `5 1/8%` per annum increases his yearly income by Rs.`25`.His investment is :

Question: In how many years will a sum of money double itself at `12%`per annum ?

Question: If a sum of money doubles itself in `8` years at simple interest, the rate percent per annum is :

Question: The rate at which a sum becomes four times of itself in `15` years at S.I.will be :

Question: If a sum of money at simple interest in `6`years,it will become `4` times in :

Question: At a certain rate of simple interest a certain sum doubles itself in `10` years.It will treble itself in :

Question: A sum of money becomes`(8/5) of itself in `5`years at a certain rate of interest. The rate of interest is :

Question: The simple interest accrued of a sum of money at the end of four years is `1/5` of its principal. What is the rate of interest per annum ?

Question: The simple interest on a sum of money at `8%` per annum for `6` years is half the sum. The sum is