Compound Interest Questions

FACTS  AND  FORMULAE  FOR  COMPOUND  INTEREST  QUESTIONS

 

 

Let Principal = P, Rate = R% per annum, Time = n years.

I.

1.  When interest is compound Annually:

Amount =P1+R100n

2.  When interest is compounded Half-yearly:

Amount = P1+(R2)1002n

3.  When interest is compounded Quarterly:

Amount = P1+R41004n

 

II.

1.  When interest is compounded Annually but time is in fraction, say 325 years.

Amount = P1+R1003×1+25R100

2.  When Rates are different for different years, say R1%, R2%, R3% for 1st, 2nd and 3rd year respectively.

Then, Amount = P1+R11001+R21001+R3100

 

III.  Present worth of Rs. x due n years hence is given by:

Present Worth = x1+R100n

Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 12% per annum is Rs 900. What is the value of given sum (in Rs)?

A) 125000 B) 250000
C) 62500 D) 187500
 
Answer & Explanation Answer: C) 62500

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4 946
Q:

If the compound interest for the 3rd and 4th year on a certain principal is Rs 125 and Rs 135 respectively, what is the rate of interest (in %)?

A) 9 B) 10
C) 8 D) 12
 
Answer & Explanation Answer: C) 8

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0 944
Q:

Compound interest on a certain sum for 2 years at the rate of 11% per annum is Rs 1160.5. What will be the simple interest (in Rs) for the same
amount at the same rate of interest for 2 years?

 

A) 9000 B) 1000
C) 1100 D) 1050
 
Answer & Explanation Answer: C) 1100

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2 926
Q:

The amount received at 10% per annum Compound interest after 3 yrs is Rs 5324. What was the principal (in Rs)?

A) 4100 B) 4200
C) 4000 D) 4300
 
Answer & Explanation Answer: C) 4000

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0 925
Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 18% per annum is Rs 81. The sum is ____.

A) Rs 2500 B) Rs 5000
C) Rs 10000 D) Rs 7500
 
Answer & Explanation Answer: A) Rs 2500

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6 920
Q:

In how many years will Rs 25,000 yield Rs 8,275 as compound interest at 10% per annum compounded annually?

A) 2 B) 4
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

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3 914
Q:

The amount received at 10% per annum compound interest after 3 yrs is Rs 10,648. What was the principal (in Rs)?

A) 8000 B) 9000
C) 8500 D) 7500
 
Answer & Explanation Answer: A) 8000

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1 912
Q:

What is the difference (in Rs) in Compound interest earned in 1 year on a sum of Rs 25,000 at 20% per annum compounded semi-annually and annually?

A) 125 B) 250
C) 500 D) 375
 
Answer & Explanation Answer: B) 250

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