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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 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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Q:

A sum of Rs 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs) after 3 years?

 

A) 13175   B) 14225
C) 12575 D) 15625
 
Answer & Explanation Answer: D) 15625

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Q:

In 3 years Rs 3000 amounts to Rs 3993 at x% compound interest, compounded annually. The value of x is

A) 10 B) 8
C) 5 D) 3 1/3
 
Answer & Explanation Answer: A) 10

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Q:

What is the difference between the maturity values, if Rs. 12500 is invested for 2 years at 20% per annum simple interest and compound interest?

A) Rs. 750 B) Rs. 650
C) Rs. 550 D) Rs. 500
 
Answer & Explanation Answer: D) Rs. 500

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Q:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 25088, and Rs 28098.56 respectively, what is the rate of interest?

A) 6 percent B) 24 percent
C) 12 percent D) 19 percent
 
Answer & Explanation Answer: C) 12 percent

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Q:

If the interest is compounded half-yearly, then what will be the compound interest (in Rs) on a sum of Rs 10000 for 1 year at the rate of 10% per annum?

A) 1250 B) 525
C) 1000 D) 1025
 
Answer & Explanation Answer: D) 1025

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Q:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 29160, and Rs 31492.8 respectively, what is the rate of interest?

A) 4 percent B) 8 percent
C) 16 percent D) 13 percent
 
Answer & Explanation Answer: B) 8 percent

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Q:

There is 40% increase in an amount in 8 years at simple interest. What will be the compound interest of Rs. 36000 after 2 years at the same rate?

A) Rs 6150 B) Rs 7687.5
C) Rs 3690 D) Rs 4612.5
 
Answer & Explanation Answer: C) Rs 3690

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