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:

If a sum of Rs.12500 is invested for 1 year at 12% per annum interest being compounded semi­-annually, then interest earned is

A) Rs.1505 B) Rs.1535
C) Rs.1545 D) Rs.1550
 
Answer & Explanation Answer: C) Rs.1545

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6 1422
Q:

If compound interest received on a certain amount in the 3rd year is Rs. 12,100, what will be the compound interest (in Rs) for the 4th year on the same amount if rate of interest is 9%?

A) 17080 B) 15669
C) 13189 D) 14376
 
Answer & Explanation Answer: C) 13189

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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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2 1409
Q:

In how many months will Rs 8,000 yield Rs 2,648 as compound interest at 20% per annum compounded semi-annually?

A) 18 B) 24
C) 12 D) 30
 
Answer & Explanation Answer: A) 18

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Q:

A sum of Rs 4000 becomes Rs 6000 in 1 year at a certain rate of compound interest. What will be the sum (in Rs) after 4 years?

A) 16250 B) 12000
C) 20250 D) 19500
 
Answer & Explanation Answer: C) 20250

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Q:

At what rate of compound interest per annum will a sum of Rs 50000 become Rs 73205 in 2 years?

A) 21 percent B) 19 percent
C) 17 percent D) 15 percent
 
Answer & Explanation Answer: A) 21 percent

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1 1388
Q:

At what rate of compound interest (in %) per annum will a sum of Rs. 15,000 become Rs. 18,150 in 2 years?

A) 11 B) 10
C) 9 D) 12
 
Answer & Explanation Answer: B) 10

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4 1381
Q:

What is the compound interest earned on Rs 80,000 at 40% per annum in 1 year compounded quarterly?

A) 28317 B) 37128
C) 18732 D) 21387
 
Answer & Explanation Answer: B) 37128

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5 1380