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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:

There is 40% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 25000 after 3 years at the same rate?

A) Rs 6492.8 B) Rs 12985.6
C) Rs 16232 D) Rs 9739.2
 
Answer & Explanation Answer: A) Rs 6492.8

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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 1,800, and Rs 1,926 respectively, what is the rate of interest?

A) 7.5% B) 7%
C) 6% D) 6.5%
 
Answer & Explanation Answer: B) 7%

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Q:

If the difference of the compound interest and the simple interest on a sum of money for 3 years is Rs. 186. Find the sum of money, if the rate of interest in both case be 10%

A) Rs. 5500 B) Rs.7200
C) Rs.6500 D) Rs.6000
 
Answer & Explanation Answer: D) Rs.6000

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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:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 33708, and Rs 35730.48 respectively, what is the rate of interest?

A) 6 percent B) 3 percent
C) 12 percent D) 10 percent
 
Answer & Explanation Answer: A) 6 percent

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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:

If sum of Rs.1000 amount to Rs.1331 in 3 years, compounded annually. Then, find the rate of interest per annum?

A) 15% B) 30%
C) 10% D) 20%
 
Answer & Explanation Answer: C) 10%

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Q:

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

A) 14600 B) 12500
C) 14642 D) 14641
 
Answer & Explanation Answer: D) 14641

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