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Q:

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

A) Rs.1251 B) Rs.1261
C) Rs.1271 D) Rs,1281
 
Answer & Explanation Answer: B) Rs.1261

Explanation:

Clearly, Rate = 5% p.a .,

Time = 3 years

S.I =Rs.1200.

So,Principal

=Rs.(100 x 1200/3x5)

=Rs.8000.

 

Amount

=Rs.[8000 x (1+5/100)³]

=Rs(8000x21/20x21/20x21/20)

= Rs.9261

 

C.I

=Rs.(9261-8000)

=Rs.1261.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

A) Rs.51.25 B) Rs.52
C) Rs.53 D) Rs.54
 
Answer & Explanation Answer: A) Rs.51.25

Explanation:

Sum =Rs.(50 x 100/2x5)

= Rs. 500.

Amount

=[Rs.500x(1+5/100)²]

=Rs(500x21/20x21/20).

=Rs. 551.25

 

C.I

= Rs. (551.25 - 500)

= Rs. 51.25

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Q:

The difference between simple interest and compound interest on Rs. 1200 for one year at 10% per annum reckoned half yearly is

A) Rs.2.50 B) Rs.3
C) Rs.4 D) Rs.4.50
 
Answer & Explanation Answer: B) Rs.3

Explanation:

S.I

= Rs.(1200x10x1/100)

= Rs.120.

 

C.I

= Rs[(1200x1+5/100)² -1200]

= Rs.123. 

 

Difference

= Rs.[123-120]

= Rs. 3.

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Q:

Output of the Program :

main()

{

int i = 1;

while (i <= 5)

    {

         printf( "%d", i );

         if (i > 2) goto here;

         i++;

     }

}

fun()

{

here : printf( "PP" );

}

A) 1 B) 2
C) Compilation error D) Exception occurs
 
Answer & Explanation Answer: C) Compilation error

Explanation:

Compiler error: Undefined label 'here' in function main

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Q:

What is the rate of simple interest?
I. The total interest earned was Rs. 4000.
II. The sum was invested for 4 years.

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Both I and II are not sufficient to answer
 
Answer & Explanation Answer: D) Both I and II are not sufficient to answer

Explanation:

We know that, R = (100 x S.I) / (P x T)

Now I gives, S.I = Rs. 4000.

        II gives,  T = 4 years.

But, P is unknown. So, we cannot find R.

So, given data is insufficient to get R.

 

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Q:

How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% p.a simple interest?

A) 65years B) 56years
C) 45years D) 57years
 
Answer & Explanation Answer: B) 56years

Explanation:

Simple interest is given by the formula SI = (pnr/100), where p is the principal, n is the numberof years for which it is invested, r is the rate of interest per annum

 

In this case, Rs. 1250 has become Rs.10,000.

 

Therefore, the interest earned = 10,000 – 1250 = 8750.

 

8750 = [(1250 x n x 12.5)/100]

 

=> n = 700 / 12.5 = 56 years.

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Q:

Simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time, If both are numerically equal.

A) Rate = 7% and Time = 7 years. B) Rate = 8% and Time = 8 years.
C) Rate = 6% and Time = 6 years. D) Rate = 5% and Time = 5 years.
 
Answer & Explanation Answer: B) Rate = 8% and Time = 8 years.

Explanation:

Let sum = X. Then S.I = 16x/25

 

Let rate = R% and Time = R years.

 

Therefore,  (x * R * R)/100 = 16x/25   =>  R = 40/5 = 8

 

Therefore, Rate = 8% and Time = 8 years.

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Q:

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

A) 5% B) 8%
C) 12% D) 15%
 
Answer & Explanation Answer: C) 12%

Explanation:

 

S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.

 

S.I. for 5 years = Rs.22053×5= Rs.3675

 

Principle = Rs.(9800-3675) = Rs.6125

 

Hence, Rate = 100×36756125×5 =12%

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Filed Under: Simple Interest
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