1
Q:

An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded every six months?

A) 7401.22 B) 3456
C) 4567 D) 7890

Answer:   A) 7401.22



Explanation:

With slight modifications, the basic formula can be made to deal with compounding at intervals other than annually.

 

Since the compounding is done at six-monthly intervals, 4 per cent (half of 8 per cent) will be added to the value on each occasion.

 

Hence we use r = 0.04. Further, there will be ten additions of interest during the five years, and so n = 10. The formula now gives:

 

V = P(1 + r)10 = 5,000 x (1.04)10 = 7,401.22

 

Thus the value in this instance will be £7,401.22.

 

In a case such as this, the 8 per cent is called a nominal annual

 

rate, and we are actually referring to 4 per cent per six months.

Q:

What is the ratio of simple interest earned on certain amount at the rate of 12% p.a. for 9 years and that for 12 years?

A) 1:2 B) 2:3
C) 3:4 D) 4:5
 
Answer & Explanation Answer: C) 3:4

Explanation:
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1 274
Q:

The difference between simple interest on a certain sum at the rate of 6% per annum for 5 years and 6 years is 25.8. What is the sum (in Rs)?

 

A) 480 B)  430
C) 258 D) 516
 
Answer & Explanation Answer: B)  430

Explanation:
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0 211
Q:

What is the ratio of simple interest earned on certain amount at the rate of 12% for 6 years and that for 12 years?

A) 1:2 B) 2:3
C) 3:4 D) 4:5
 
Answer & Explanation Answer: A) 1:2

Explanation:
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1 207
Q:

R borrowed Rs. 1,200 at 13% per annum simple interest. What amount will R pay to clear the debt after 5 years?

A) Rs.1,860 B) Rs.1,800
C) Rs.1,980 D) Rs.2,000
 
Answer & Explanation Answer: C) Rs.1,980

Explanation:
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0 234
Q:

A sum of Rs 4000 becomes Rs 7000 in 6 years at simple interest. If the rate of interest becomes double of itself, then what will be the amount (in Rs) after 6 years?

 

A)  8500 B)  9000
C)  8000 D) 10000
 
Answer & Explanation Answer: D) 10000

Explanation:
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3 187
Q:

A sum of Rs 800 becomes Rs 1000 in 2 years at simple interest. What is the per annum rate of interest (in percent)?

 

A) 12.5   B)  25  
C)  8.5   D)  17
 
Answer & Explanation Answer: A) 12.5  

Explanation:
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2 312
Q:

Sachin lent out Rs 60000 in two parts, first at 4% and the second at 10% interest. The yearly average interest comes out to be 6.4%. What are the amounts (in Rs) that were lent at 4% and 10% respectively?

 

A) 40000, 20000   B) 48000, 12000  
C) 36000, 24000   D) 32000, 28000
 
Answer & Explanation Answer: C) 36000, 24000  

Explanation:
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0 359
Q:

Rs. x invested at 8% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 7.5% simple interest per annum for 6years. Find x : y.

A) 40:45 B) 5:6
C) 16:15 D) 9:8
 
Answer & Explanation Answer: D) 9:8

Explanation:
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