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:

What is the difference (in Rs) between compound interest (compounded annually) and simple interest for 3 years on a principal of Rs 3000 at the annual rate of 20%?

A) 464 B) 384
C) 356 D) 424
 
Answer & Explanation Answer: B) 384

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Q:

The sum for 2 years gives a compound interest of Rs 3225 at 15% rate. Then sum is

A) 10000 B) 20000
C) 15000 D) 32250
 
Answer & Explanation Answer: A) 10000

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0 1103
Q:

A sum of Rs 6000 becomes Rs 7200 in 2 years, when invested in a scheme of simple interest. If the same sum is invested in a scheme of compound interest with same yearly interest rate (compounding of interest is done yearly), then what will be the amount (in Rs) after 3 years?

 

A) 7434   B) 8244  
C) 7864   D) 7986
 
Answer & Explanation Answer: D) 7986

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Q:

A bank offers 5% compound interest per half year. A customer deposits Rs 4800 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?

A) Rs 732 B) Rs 1464
C) Rs 366 D) Rs 183
 
Answer & Explanation Answer: A) Rs 732

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0 1094
Q:

What is the difference (in Rs) between the compound interests on Rs. 1000 for 1 year at 10% per annum compounded yearly and half-yearly?

A) 1.5 B) 0.5
C) 2.5 D) 3.5
 
Answer & Explanation Answer: C) 2.5

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Q:

There is 40% increase in an amount in 8 years at simple interest. What will be the compound interest (in rupees) of Rs 30000 after 2 years at the same rate?

A) 6150 B) 7687.5
C) 4612.5 D) 3075
 
Answer & Explanation Answer: D) 3075

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Q:

The difference between compound interest and simple interest on a certain sum of money for 2 years at 5% per annum is Rs. 41. What is the sum of money?

A) Rs.7200 B) Rs.9600
C) Rs.16400 D) Rs.8400
 
Answer & Explanation Answer: C) Rs.16400

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0 1079
Q:

If the amount received at 10% per annum Compound interest after 3 yrs is Rs 19965, then what will have been the principal (in Rs) amount?

A) 16000 B) 15000
C) 17000 D) 18000
 
Answer & Explanation Answer: B) 15000

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