General Mathematics

Question: A sum was put at simple interest at a certain rate for `2` years. Had it been put at `3%`higher rate, it would have fetched Rs. `72` more.The sum is :
A
`Rs. 1200`

B
`Rs. 1500`

C
`Rs. 1600`

D
`Rs. 1800`

Note: Let the sum be x Rs. x and original rate be R%.Then, `(x xx(R + 3) xx 2)/100 - (x xx R xx 2)/100` `= 72` `or 2Rx + 6x - 2Rx` `= 7200` `or x = 1200`
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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 :
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: The ratio of third proportional to `12` and `30` and the mean proportional of `9` and `25` is :
A
`2 : 1`

B
`5 : 1`

C
`7 : 15`

D
`9 : 14`

Note: Let `12 : 30 = 30 : x`. Then, `x = (30 xx 30)/12` ` = 75`. Also, `y = sqrt(9 xx 25)` ` = 15`. `:.`Required ratio `= x : y` `= 75 : 15` `= 5 : 1`.
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Question: In a ratio which is equal to `3 : 4`, if the antecedent is `12`, then consequent is :
A
`9`

B
`16`

C
`20`

D
`24`

Note: `3/4 = (12)/x` `iff 3x = 48` `iff x = 16`.
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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: If `0.4` of a number is equal to `0.06` of another number, then the retio of the numbers is :
A
`2 : 3`

B
`3 : 4`

C
`3 : 20`

D
`20 : 3`

Note: `0.4A = 0.06B` `iff A/B = (0.06)/(0.4)` ` = 6/(40)` ` = 3/(20)`.
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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: A fraction which bears the same ratio to `1/(27)` that `3/(11)` does to `5/9`, is :
A
`1/(55)`

B
`55`

C
`1/(11)`

D
`3/(11)`

Note: `x : 1/(27) = 3/(11) : 5/9` `iff 5/9 x = 1/(27) xx 3/(11)` `:. 5/9 x = 1/(99)` or, `x = (1/(99) xx 9/5)` `= 1/(55)`.
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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%`
1. Report

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Question: A sum was put at simple interest at a certain rate for `2` years. Had it been put at `3%`higher rate, it would have fetched Rs. `72` more.The sum is :

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: The ratio of third proportional to `12` and `30` and the mean proportional of `9` and `25` is :

Question: In a ratio which is equal to `3 : 4`, if the antecedent is `12`, then consequent 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: If `0.4` of a number is equal to `0.06` of another number, then the retio of the numbers is :

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

Question: A fraction which bears the same ratio to `1/(27)` that `3/(11)` does to `5/9`, is :

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 :