General Mathematics

Question: The interest on a certain deposit at `4.5%`p.a.is Rs.`202.50` in one year.How much will the additional interest in one year be on the same deposit at`5%`
A
`Rs. 22.50`

B
`Rs. 20.25`

C
`Rs. 225`

D
`Rs. 427.50`

Note: Sum `= ((100 xx 202.50)/(4.5 xx 1))` `= Rs. 4500`. Additional interest `= Rs.((4500 xx 5 xx 1)/(100) - 202.50)` `= Rs. 22.50`.
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Question: A sum of money was lent at simple interest at `11%`p.a.for `3 1/2` years and `4 1/2` years respectively.If the difference in interests for two periods was Rs.`412.50`,then the sum is :
A
`Rs.3250`

B
`Rs. 3500`

C
`Rs. 3750`

D
`Rs. 4250`

Note: Let the sum be Rs.x.then, `(x xx 11 xx 9/2 xx 1/100 - x xx 11 xx 7/2 xx 1/100)` `= 412.50` `or(22x)/200` `= 412.50 ⇔ 11x` `= 41250 ⇔ x ` `= 3750`
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Question: Gulshan Kumar borrows Rs. `300` at `5%` and Rs.`450` at `6%`at the same time and on the condition that the woule loan will be repaid when the total interest amounts to Rs. `126`.The loan will have to be repaid after how many years ?
A
`2`

B
`3`

C
`4`

D
`5`

Note: Let it be paid after x years .Then (300 xx 5 xx x)/100 + (450 xx 6 xx x)/100` `= 126 ⇔ 42x` `= 126 ⇔ x ` `= 3`
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Question: Prabhat took a certain amount as a loan from a bank at the rate of `8%`p.a.S.I and gave the same amount to Ashish as a loan at the rate of `12%`p.a. If at the end `12` years ,he made a profit of Rs.`320` in the deal, what was the orginal amount ?
A
`Rs. 2000`

B
`Rs. 3000`

C
`Rs. 4000`

D
None of these

Note: Let the original amount be Rs.x.Then, `(x xx 12 xx 12)/100 - (x xx 8 xx 12)/100` `= 320 ⇔ x` `= 2000/3` `= Rs. 666.67`
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Question: Vishal lent Rs.`150`to Sandeep for `4` years and Rs.`600` to Deepak for `2`years. If he receives Rs.`90` as simple interest altogether, the rate of interest is :
A
`12%`

B
`10%`

C
`5%`

D
`4%`

Note: Let the rate be R% per annum.Then , `(150 xx R xx 4)/100 + (600 xx R xx 2)/100` `= 90 ⇔ 18R` `= 90 ⇔ R` `= 5%`
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Question: A lent Rs.`1200` to B for `3` years at a certain rate of simple interest and Rs.`1000` to C for the same time at the same rate.If he gets Rs.`50` more from B than from C,then the rate percent is :
A
`8 1/3%`

B
`6 2/3%`

C
`10 1/3%`

D
`9 2/3%`

Note: `(1200 xx R xx 3)/100 - (1000 xx R xx 3)/100` `= 50 ⇔ 6R` `= 50 ⇔ R` `= 8 1/3%`
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Question: Rahul borrowed Rs. `830`from Lal at `12%`p.a.S.I for `3` years.He than added some more money to the borrowed sum and lent it to shobha for the same period at `14%`p.a.rate of interest.If Rahul gains Rs.93.90` in the whole transaction,how much money did he add from his side ?
A
`Rs.35`

B
`Rs.55`

C
`Rs.80`

D
`Rs.105`

Note: `((830 + x) xx 14 xx 3)/(100) - (830 xx 12 xx 3)/(100)` `= 93.90` `or 830 xx 42 + 42x - 830 xx 36` `= 9390` `or 42x + 830 xx (42 - 36)` `= 9390` `or 42x` `= 9390 - 4980 ⇔ x` `= 4410/42` `= 105` :. Money added `= Rs. 105`
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Question: The difference between the interest received from two different banks on Rs.`500` for `2` years,is Rs.`2.50`.The difference between their rates is :
A
`1%`

B
`0.5%`

C
`0.25%`

D
`2.5%`

Note: `(500 xx R^1 xx 2)/100 - (500 xx R^2 xx 2)/100` `= 2.50` `or 1000(R^1 - R^2) = 250` `or R^1 - R^2 = 250/1000` `= 1/4 = 0.25%`
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Question: The third proportional to `(x^2 - y^2)` and `(x - y)` is :
A
`(x + y)/(x - Y)`

B
`(x - y)/(x + y)`

C
`x + y`

D
`x - y`

Note: Let `(x^2 - y^2) : (x - y) = (x - y) : z`. Then, `z = ((x - y)(x - y))/((x^2 - y^2))` `= ((x - Y))/((x + y))`.
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Question: The simple interest on Rs.`1820` from March `9,1994` to may `21,1994` at `7 1/2` rate will be
A
`Rs. 29`

B
`Rs. 28.80`

C
`Rs.27.30`

D
`Rs. 22.50`

Note: March April May `22 + 30 + 21` `= 73 days ` `= 73/365 year` `= 1/5 year` :. Interest `= Rs.(1820 xx 1/5 xx 15/(2 xx 100))` `= Rs.27.`
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Question: The interest on a certain deposit at `4.5%`p.a.is Rs.`202.50` in one year.How much will the additional interest in one year be on the same deposit at`5%`

Question: A sum of money was lent at simple interest at `11%`p.a.for `3 1/2` years and `4 1/2` years respectively.If the difference in interests for two periods was Rs.`412.50`,then the sum is :

Question: Gulshan Kumar borrows Rs. `300` at `5%` and Rs.`450` at `6%`at the same time and on the condition that the woule loan will be repaid when the total interest amounts to Rs. `126`.The loan will have to be repaid after how many years ?

Question: Prabhat took a certain amount as a loan from a bank at the rate of `8%`p.a.S.I and gave the same amount to Ashish as a loan at the rate of `12%`p.a. If at the end `12` years ,he made a profit of Rs.`320` in the deal, what was the orginal amount ?

Question: Vishal lent Rs.`150`to Sandeep for `4` years and Rs.`600` to Deepak for `2`years. If he receives Rs.`90` as simple interest altogether, the rate of interest is :

Question: A lent Rs.`1200` to B for `3` years at a certain rate of simple interest and Rs.`1000` to C for the same time at the same rate.If he gets Rs.`50` more from B than from C,then the rate percent is :

Question: Rahul borrowed Rs. `830`from Lal at `12%`p.a.S.I for `3` years.He than added some more money to the borrowed sum and lent it to shobha for the same period at `14%`p.a.rate of interest.If Rahul gains Rs.93.90` in the whole transaction,how much money did he add from his side ?

Question: The difference between the interest received from two different banks on Rs.`500` for `2` years,is Rs.`2.50`.The difference between their rates is :

Question: The third proportional to `(x^2 - y^2)` and `(x - y)` is :

Question: The simple interest on Rs.`1820` from March `9,1994` to may `21,1994` at `7 1/2` rate will be