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 Compound Interest Questions

Popular Latest Rated Important Formulae

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:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 32448 and Rs 33745.92 respectively, what is the rate of interest?

A) 2 percent B) 8 percent
C) 6 percent D) 4 percent
 
Answer & Explanation Answer: D) 4 percent

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1 798
Q:

A sum of Rs 5000 becomes Rs 8000 in 3 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 yearly), then what will be the amount (in Rs) after 3 years?

 

A) 8640   B) 8260  
C) 8880   D) 9220
 
Answer & Explanation Answer: A) 8640  

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2 795
Q:

A sum of Rs 8000 is borrowed at compound interest at the rate of 7% per annum. What will be the amount (in Rs) after 2 years?

 

A) 1154.4   B) 13600  
C) 9159.2   D) 9428.6
 
Answer & Explanation Answer: C) 9159.2  

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2 794
Q:

A sum of Rs 4000 becomes Rs 5800 in 3 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 2 years?

 

A) 4430   B) 5450  
C) 5290   D) 4970
 
Answer & Explanation Answer: C) 5290  

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2 782
Q:

What is the difference (in Rs) between compound interest (compounded annually) and simple interest for 3 years on a principal of Rs 4000 at the rate of 30% per annum?

 

 

A) 976 B) 1024
C) 1188 D) 1276
 
Answer & Explanation Answer: C) 1188

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3 737
Q:

Rs. 10000 is being compounded at 20% per annum. Calculate the amount after 2 years if rate of interest is charged half yearly.

A) Rs. 10041 B) Rs. 14641
C) Rs. 12000 D) Rs. 13660
 
Answer & Explanation Answer: B) Rs. 14641

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3 732
Q:

A sum becomes 1.69 times of itself in 2 years when invested at compound interest. What is the per annum rate of interest (in percentage)?

A) 38 B) 34.5
C) 13 D) 30
 
Answer & Explanation Answer: D) 30

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2 721
Q:

A sum of Rs 20000 becomes Rs 32000 in 12 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 2 years?

 

A) 21750 B) 22050
C) 23250 D) 24650
 
Answer & Explanation Answer: B) 22050

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