1.
The Simple interest on a certain sum for 2 years at 10% per annum is Rs. 90. The corresponding compound interest is
• A.
Rs. 99
• C.
Rs. 94.50
• B.
Rs. 95.60
• D.
Rs. 108
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Explanation :

 Sum = Rs. 100 x 90 = Rs. 450 2 x 10

 C.I. = Rs. 450 x 1+ 10 2 - 450 100

 = Rs. 94.50

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2.
 The Compound interest on Rs. 20,480 at 6 1 % per annum for 2 years 73 days, is : 4
• A.
Rs. 2929
• C.
Rs. 3131
• B.
Rs. 3000
• D.
Rs. 3636
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Explanation :

 Time = 2 73 years = 2 1 years. 365 5

Amount = Rs.   20480 x
 1 + 25 2 4 x 100

 1 x 25 1 + 5 4 100

 = Rs. 20480 x 17 x 17 x 81 = Rs. 23409. 16 16 80

C.I. = Rs. (23409 - 20480) = Rs. 2929

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3.
A sum put out at 4% compound interest payable half-yearly amounts to Rs. 6632.55
 in 1 1 years. The sum is 2
• A.
Rs. 6530
• C.
Rs. 6470
• B.
Rs. 6250
• D.
None of these
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Explanation :

 Let Rs. x be the sum. Then,

 2 x 3 3 6632.55 = x = 1 + 4 2 = x 51 2 x 100 50

x = 6632.55 x 50 x 50 x 50
51 x 51 x 51

 = 6250

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4.
A bank offers 5% compound interest calculated on half-yearly basics. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
• A.
Rs. 120
• C.
Rs. 122
• B.
Rs. 121
• D.
Rs. 123
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Explanation :

Amount = Rs.   1600 x
 1 + 5 2 x 100
2 + 1600 x
 1 + 5 2 x 100

= Rs.
 1600 x 41 x 41 + 1600 x 41 40 40 40

= Rs.
 1600 x 41 41 + 1 40 40
= Rs.
 1600 x 41 x 81 40 x 40
= Rs. 3321.

 C.I. = Rs. (3321 - 3200) = Rs. 121.

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5.
A sum amounts to Rs. 1352 in 2 years at 4% compound interest. The sum is
• A.
Rs. 1300
• C.
Rs. 1260
• B.
Rs. 1250
• D.
Rs. 1200
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Explanation :

Let the sum be P. Then,

 1352 = P 1 + 4 2 100

1352 = P x 26 x 26
25 25

P =  1352 x 25 x 25  = 1250
26 x 26

Principal = Rs. 1250

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