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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:

The maturity value of a certain sum after two years at 20% p.a. interest compounded annually is Rs. 14,400/-. Find the Principal amount.

A) Rs.9000 B) Rs.9500
C) Rs.10,000 D) Rs.10,500
 
Answer & Explanation Answer: C) Rs.10,000

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2 1591
Q:

The difference between the compound interest (compounding annually) and simple interest on a sum at the rate of 12% per annum for 2 years is Rs 360. What is the sum (in Rs)?

A) 27000 B) 32000
C) 30000 D) 25000
 
Answer & Explanation Answer: D) 25000

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9 1580
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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4 1566
Q:

The compound interest on Rs. 24000 at 10% per annum for 11⁄2 years, interest being compounded semi­annually is

A) Rs.3783 B) Rs.3777
C) Rs.3780 D) Rs.3781
 
Answer & Explanation Answer: A) Rs.3783

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2 1561
Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 5% per annum is Rs 45. The sum is

A) Rs 36000 B) Rs 72000
C) Rs 18000 D) Rs 54000
 
Answer & Explanation Answer: C) Rs 18000

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2 1546
Q:

On a certain principal if the simple interest for two years is Rs 1400 and compound interest for the two years is Rs 1449, what is the rate of Interest?

A) 7 percent B) 3.5 percent
C) 14 percent D) 10 percent
 
Answer & Explanation Answer: A) 7 percent

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4 1541
Q:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 24200, and Rs 26620 respectively, what is the rate of interest?

A) 10 percent B) 5 percent
C) 20 percent D) 16 percent
 
Answer & Explanation Answer: A) 10 percent

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0 1539
Q:

A sum of Rs 10000 becomes Rs 14641 when invested at compound interest at the yearly interest rate of 20% per annum. If the compounding is done half yearly, then for how many years was the sum invested?

 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

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2 1534