General Mathematics

Question: A Sum of Rs. `10` is lent to be returned in `11` monthly instalments of Rs. `1` each interest begin simple. The rate of interest is :
A
`9 1/11%`

B
`10%`

C
`11%`

D
`21 9/11%`

Note: Rs. `10` + S.I.on Rs. `10`for `11` months `= Rs. 11` + S.I. on Re 1. for `110` months `= Rs. 11` + S.I. on Re. `11` + S.I. on Re` 1`for `55` months S.I. on Re `1` for `55` months = Re `1`. :. Rate`= ((100 xx 12)/(1 xx 55))%` `= 21 9/11%`
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Question: What annual payment will discharge a debt of Rs. `580` due in `5` years the rate being `8%` per annum ?
A
`Rs. 65.60`

B
`Rs. 100`

C
`Rs. 166.40`

D
`Rs. 12`

Note: Let the annual instalment be Rs. x. Then, `[x + ((x xx 4 xx 8)/100)] +[ x + ((x xx 3 xx 8)/100)] x + ((x xx 2 xx 8)/100)] + [ x + ((x xx 2 xx 8)/100)] + x = 580` `or (33x)/25 + (31x)/25 + (29x)/25 + (27x)/25 + x = 580` `or x = 100`.
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Question: The simple interest on a sum of money will be Rs.`600` after `10` years. If the principal is trebled after `5` years, what will be the total interest at the end of the tenth year ?
A
`Rs. 600`

B
`Rs. 900`

C
`Rs. 1200`

D
Date inadequate

Note: Let sum = x,S.I. Rs.` 600`, TIme = `10` years Rate` = ((100 xx 6000)/(x xx 10))` `= (6000/x)%` S.I. for first `5` years `= Rs. ((x xx 5 xx 6000)/(x xx 100))` `= Rs. 300` S.I. for first `5` years `= Rs. (3x xx 5 xx 6000/(x xx 100))` `= Rs. 900`. :. Total interest` = Rs. 1200`.
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Question: The rate of simple interest on a sum of money is `6%`p.a for the first `3` years `8%`p.a .for the next `5` years and `10%` p.a. for the period beyond `8` years. If the simple interest accrued by the sum for a total period of `10` years is Rs. 1560`,what is the sum ?
A
`Rs. 1500`

B
`Rs. 2000`

C
`Rs. 3000`

D
Date inadeequate

Note: Let the sum be Rs.x.Then. `(x xx 6 xx 3)/100 + (x xx 8 xx 5)/100 + (x xx 10 xx 2)/100 = 1560` `or 78x = 156000` `or x = 2000`.
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Question: The rate of interest on a sum of money is `4%`p.a. for the first `2` years, `6%` p.a. for the next `3` years and `8%` p.a. for the period beynond `5` years, If the simple interest accrued by the sum for a total period of `8` years is Rs. `1280`, what is the sum ?
A
`Rs. 1523`

B
`Rs. 1680`

C
`Rs. 2560`

D
`Rs. 2840`

Note: Let the sum be .x. Then, `(x xx 4 xx 2)/100 + (x xx 6 xx 3)/100 + (x xx 8 xx 3)/100 = 1280` `or 50x = 1280 xx 100` `:. x = 2560`.
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Question: How long will it take a sum of money invested at `5%` p.a. S.I.to incrcease its value by `40%` ?
A
`5 years`

B
`6 years`

C
`7 years`

D
`8 years`

Note: Let the sum be x. Then, amount `= 140/100 x = 7x/5`. :. S.I. = ((7x)/5 - x)` `= (2x)/5`. Thus, sum = x, S.I. `= (2x)/5 & Rate = 5%` :. Time`= (100 xx (2x)/5 xx 1/(x xx 5)` `= 8 years`
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Question: A monthly instalment of Rs. `180` is required to be paid for repayment of an interest free loan in `40` months. If it is decieded to pay it in `30`
A
`60`

B
`198`

C
`240`

D
`330`

Note: `180 xx 40 = x xx 30` `or x = 240`
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Question: A sum of Rs. `1550` is lent out into two parts, one at `8%`and another one at `6%`.If the total annual income is Rs.`106`, the money lent at `8%` is ;
A
`Rs. 650`

B
`Rs.720`

C
`Rs. 840`

D
`Rs. 900`

Note: Let the money lent at `8%` be Rs. x. Then, `(x xx 8 xx 1)/100 + (1550 - x) xx 6 xx 1)/100 = 106` `or 2x + 9300 = 10600` `or x = 650`
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Question: A sum of Rs. `2600` is lent out in two parts in such a way that the interest on one part at `10%` for `5` years is equal to that on another part at `9%`for `6` years. The sum lent out at `10%` is :
A
`Rs. 1150`

B
`Rs. 1250`

C
`Rs. 1350`

D
`Rs. 1450`

Note: Let the sum at `10%` be Rs.x. Then, `(x xx 10 xx 5)/100` `= (2600 -x) xx 9 6)/100` `or 10x = 2600 xx 54` `or x = 1350`.
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Question: A sum of Rs.`1550` was lent party at `5%` and party at `8%`p.a. simple interest. The total interest received after `3` years was Rs. `300`.The ratio of the money lent at `5%` to that lent at `8%` is :
A
`8 : 5`

B
`5 : 8`

C
`31 : 6`

D
`16 :15`

Note: Let the sum at `55%` be.Rs.x.Then, `(x xx 5 xx 3)/100 + (1550 - x) xx 8 xx 3)/100 = 300` `or x = 800` `:. (Money at 5%)/(Money at 8%)` `= 800/(1550 - 800)` `= 800/750` `= 16/15`
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Question: A Sum of Rs. `10` is lent to be returned in `11` monthly instalments of Rs. `1` each interest begin simple. The rate of interest is :

Question: What annual payment will discharge a debt of Rs. `580` due in `5` years the rate being `8%` per annum ?

Question: The simple interest on a sum of money will be Rs.`600` after `10` years. If the principal is trebled after `5` years, what will be the total interest at the end of the tenth year ?

Question: The rate of simple interest on a sum of money is `6%`p.a for the first `3` years `8%`p.a .for the next `5` years and `10%` p.a. for the period beyond `8` years. If the simple interest accrued by the sum for a total period of `10` years is Rs. 1560`,what is the sum ?

Question: The rate of interest on a sum of money is `4%`p.a. for the first `2` years, `6%` p.a. for the next `3` years and `8%` p.a. for the period beynond `5` years, If the simple interest accrued by the sum for a total period of `8` years is Rs. `1280`, what is the sum ?

Question: How long will it take a sum of money invested at `5%` p.a. S.I.to incrcease its value by `40%` ?

Question: A monthly instalment of Rs. `180` is required to be paid for repayment of an interest free loan in `40` months. If it is decieded to pay it in `30`

Question: A sum of Rs. `1550` is lent out into two parts, one at `8%`and another one at `6%`.If the total annual income is Rs.`106`, the money lent at `8%` is ;

Question: A sum of Rs. `2600` is lent out in two parts in such a way that the interest on one part at `10%` for `5` years is equal to that on another part at `9%`for `6` years. The sum lent out at `10%` is :

Question: A sum of Rs.`1550` was lent party at `5%` and party at `8%`p.a. simple interest. The total interest received after `3` years was Rs. `300`.The ratio of the money lent at `5%` to that lent at `8%` is :