26.
If the simple interest on a certain sum of money is 4/25th of the sum and the rate percent equals the number of years, then the rate of interest per annum is
• A.
2%
• C.
4%
• B.
14%
• D.
None of these
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Explanation :
 Let the principal be Rs. x, then the simple interest (I) = 4 x. 25
Let the rate of interest per annum be r% then time (T) = r years

100 x 4  x
R = 100 x I  r = 25
P x T x x r

r2 = 400 or r = 20  = 4%
25 5

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27.
If simple interest on a certain sum of money for 4 years at 5% per annum is same as the simple interest on Rs. 560 for 10 years at the rate of 4% per annum then the sum of money is
• A.
Rs. 1190
• C.
Rs. 1210
• B.
Rs. 1120
• D.
None of these
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Explanation :

Le the required sum of money be Rs. x.

Here R1 = 5%, T1 = 4 years, R2 = 4%, T2 = 10 years.

 Given: x : 560 = 1 : 1 = 1 : 1 R1T1 R2T2 5 x 4 4 x 10

x = 2  or, x = Rs. 1120.
560 1

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28.
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 at 9% for 6 years. The sum lent out at 10% is :
• A.
Rs. 1150
• C.
Rs. 1350
• B.
Rs. 1250
• D.
Rs. 1450
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Explanation :

Let the sum lent at 10% be Rs. x and that lent at 9% be Rs. (2600 - x). Then,

 x x 10 x 5 = (2600 - x) x 9 x 6 100 100

 50x = (2600 x 54) - 54x

 x = 2600 x 54 = 1350. 104

 Sum lent at 10% = Rs. 1350

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29.
At what rate percent per annum will the simple interest on a sum of money be
 2 of the amount in 10 years ? 5
• A.
4%
•  C. 6 2 % 3
•  B. 5 2 % 3
• D.
6%
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Explanation :

 Let sum = x. Then, S.I. = 2x , Time = 10 years. 5

Rate =   100 x 2x   % = 4%.
x x 5 x 10

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30.
A man took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was :
• A.
Rs. 2000
• C.
Rs. 15,000
• B.
Rs. 10,000
• D.
Rs. 20,000