Compound Interest, General Mathematics

Question: The amount of Tk. 7500 at compound interest at 4% per annum for 2 years, is:
A
Tk. 7800

B
Tk. 8100

C
Tk. 8112

D
Tk. 8082

Note: Amount = Tk. `[ 7500 xx (1 + 4/100)^2]` = Tk. `( 7500 xx (26)/(25) xx (26)/(25))` = Tk. 8112
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Question: If the simple interest on a sum of money at 5% per annum for 3 years is Tk. 1200, the compound interest on the same sum for the same period at the same rate, is:
A
Tk. 1260

B
Tk. 1261

C
Tk. 1264

D
Tk. 1265

Note: Sum=Tk. `((100 xx 1200)/(3 xx 5))` = Tk. 8000 Amount = Tk. `[8000 xx (1 + 5/100)^3]` Tk. = `(8000 xx 21/20 xx 21/20 xx 21/20)` `:.` C.I. = Tk. (9261 - 8000) = Tk. 1261
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Question: The difference between the compound interest and the simple interest on a sum of money for two years at `12 1/2 %` per annum is Tk. 150 The sum is:
A
Tk. 9000

B
Tk. 9200

C
Tk 9500

D
Tk 9600

Note: Let the sum be Tk. `x.` Then, C.I. `= x ( 1 + 25/(2 xx 100))^2 - x ` `= (9/8 xx 9/8)x - x` `= (17x)/64` S.I. =`( x xx 25/2 xx 1/100)` ` = x/4` (C.I) - (S.I) `= ((17x)/64 - x/4)` `= x/64` `:. x/64` `= 150`or `x=9600`
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Question: If the difference between the compound interest, compounded half yearly and the simple interest on a sum at 10% per annum for one year is Tk. 25, the sum is:
A
Tk. 9000

B
Tk 9500

C
Tk 10000

D
10,500

Note: Let the sum be Tk. `x.` Then, C.I. = `x(1 + 5/100)^2 - x = ((441x)/400 - x) = (41x)/400.` S.I. = `(x xx 10 xx 1)/100 = x/10` (C.I) - (S.I) = `(41x)/400 - x/10 = x/400` `:. x/400 = 25 or x = 10000` Hence, the sum is Tk. 10000.
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Question: The amount of Rs.`7500` at compound interest at `4%`per annum for `2` years is :
A
`Rs. 7800`

B
`Rs. 8100`

C
`Rs. 8112`

D
`Rs. 8082`

Note: Amount = Rs.`[ 7500 xx (1 + 4/100)^2]` `= Rs. (7500 xx 26/25 xx 26/25)` `= Rs. 8112`.
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Question: If the simple interest on a sum of money at `5%`per annum for `3` years is Rs.`1200`, the compound interest on the same sum for the same period at the same rate, is :
A
`Rs. 1260`

B
`Rs. 1261`

C
`Rs. 1264`

D
`Rs. 1265`

Note: Sum`= Rs.((100 xx 1200)/(3 xx 5))` `= Rs. 8000.` Amount`= Rs.[ 8000 xx ( 1 + 5/100)^3]` `= Rs.( 8000 xx 21/20 xx 21/20 xx 21/20)` `= Rs. 9261` :. C.I.`= Rs. (9261 - 8000)` `=Rs. 1261`.
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Question: The difference between the compound interest and the simple interest on a sum of money for `2` years at `12 1/2%`per annum is Rs.`150`.The sum is :
A
`Rs. 9000`

B
`Rs. 9200`

C
`Rs. 9500`

D
`Rs. 9600`

Note: Let the sum be Rs.x. Then, `C.I = x (1 + 25/(2 xx 100))^2 - x` `= (9/8 xx 9/8) x - x` `= (17x)/64`. `S.I = (x xx 25/2 xx 2 xx 1/100)` `= x/4` `(C.I.) - (S.I.) = ((17x)/64 - x/4)` `= x/64` `:. x/64 = 150` `or x = 9600`.
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Question: If the difference between the compound interest, compounded half yearly and the simple interest on a sum at `10%` per annum for one year is Rs.`25`,the sum is :
A
`Rs. 9000`

B
`Rs. 9500`

C
`Rs. 10000`

D
`Rs. 10500`

Note: Let the sum be Rs.x. Then, C.I.`= x (1 + 5/100)^2 - x` `= ((441x)/400 - x)` `= (41x)/400` S.I.`= (x xx 10 xx 1)/100` `= x/10` (C.I) - (S.I)`= (41x)/400 - x/10` `= x/400` `:. x/400 = 25` `or x 10000`.
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Question: A man borrowed Rs. `800`at `10%` per annum simple interest and immediately lent the whole sum at `10%` per annum compound interest. What dose he gain at the end of `2` years ?
A
`Rs. 6`

B
`Rs. 8`

C
`Rs. 10`

D
`Rs. 12`

Note: C.I.= Rs.` [ 800 xx (1 + 10/100)^2 - 800]` `= Rs. 168.` S.I. Rs.`((800 xx 10 xx 2)/100)` `= Rs. 160` Gain = (C.I) - (S.I) `= Rs. (168 - 160)` `= Rs.= 8`
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Question: On what sum of money will the simple interest for `3` years at `8%` per annum be half of the compound interest on Rs.`400` for `2` years at `10%` per annum ?
A
`Rs. 125`

B
`Rs. 150`

C
`Rs. 175`

D
`Rs. 200`

Note: C.I. on Rs.`400` for `2` years at `10%` p.a. `= Rs. [400 xx (1 + 10/100)^2 - 400]` `= Rs. 84` required S.I.`= 1/2 xx Rs. 84` `= Rs. 42`. Now S.I.` = Rs. 42,`Time`= 3`years & Rate` = 8%` `:. sum` `= Rs.((100 xx 42)/(3 xx 8))` `= Rs. 175`
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Question: The amount of Tk. 7500 at compound interest at 4% per annum for 2 years, is:

Question: If the simple interest on a sum of money at 5% per annum for 3 years is Tk. 1200, the compound interest on the same sum for the same period at the same rate, is:

Question: The difference between the compound interest and the simple interest on a sum of money for two years at `12 1/2 %` per annum is Tk. 150 The sum is:

Question: If the difference between the compound interest, compounded half yearly and the simple interest on a sum at 10% per annum for one year is Tk. 25, the sum is:

Question: The amount of Rs.`7500` at compound interest at `4%`per annum for `2` years is :

Question: If the simple interest on a sum of money at `5%`per annum for `3` years is Rs.`1200`, the compound interest on the same sum for the same period at the same rate, is :

Question: The difference between the compound interest and the simple interest on a sum of money for `2` years at `12 1/2%`per annum is Rs.`150`.The sum is :

Question: If the difference between the compound interest, compounded half yearly and the simple interest on a sum at `10%` per annum for one year is Rs.`25`,the sum is :

Question: A man borrowed Rs. `800`at `10%` per annum simple interest and immediately lent the whole sum at `10%` per annum compound interest. What dose he gain at the end of `2` years ?

Question: On what sum of money will the simple interest for `3` years at `8%` per annum be half of the compound interest on Rs.`400` for `2` years at `10%` per annum ?