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:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 12% per annum is Rs 900. What is the value of given sum (in Rs)?

A) 125000 B) 250000
C) 62500 D) 187500
 
Answer & Explanation Answer: C) 62500

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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:

What is the compound interest on Rs. 48,000 for 2 years at 20% p.a., if interest is compounded annually?

A) Rs. 69,120 B) Rs. 21,120
C) Rs. 76,800 D) Rs. 72,000
 
Answer & Explanation Answer: B) Rs. 21,120

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Q:

A bank offers 20% compound interest per half year. A customer deposits Rs 2800 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 is ______.

A) Rs 3584 B) Rs 896
C) Rs 1792 D) Rs 448
 
Answer & Explanation Answer: C) Rs 1792

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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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Q:

The compound interest on Rs. 1000 at 10% per annum for 3 years in (Rs.) is

A) Rs. 1331 B) Rs. 331
C) Rs. 300 D) Rs. 1300
 
Answer & Explanation Answer: B) Rs. 331

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Q:

On a certain principal if the simple interest for two years is Rs 2800 and compound interest for the two years is Rs 2996, what is the rate of Interest?

A) 14 percent B) 7 percent
C) 28 percent D) 21 percent
 
Answer & Explanation Answer: A) 14 percent

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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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