2
Q:

The difference between Simple Interest and Compound Interest at the rate of 12% on the same amount for 3 years is Rs. 112.32. What is the principal amount if interest is compounded annually?

A) Rs. 25000 B) Rs. 2500
C) Rs. 50000 D) Rs. 5000

Answer:   B) Rs. 2500



Explanation:

Let the principal amount be Rs. x
Calculating SI:
SI for 1 year at 12% rate is Rs (12/100)*x. For 3 years it will be Rs (36/100)*x ------ (1)
Calculating CI:
For 1st year, Interest = (12/100)*x
For 2nd year, interest = (12/100)*x + (12/100)*x + (144/10000)*x
For 3rd year, interest = (12/100)*x + (12/100)*x + (12/100)*x + (144/10000)*x + (144/10000)*x + (1728/1000000)*x. ------ (2)
Subtracting equation 2 and 1 and solving further,
312*144*x/1000000 = 112.32
X = Rs 2500.
Alternative way: Using formula for Difference
between CI and SI for 3 years

we can also use the above formula to find the value of P.

Subject: Simple Interest
Exam Prep: AIEEE , Bank Exams , GATE
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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10 1314
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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2 1142
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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6 877
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

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3 868
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

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6 859
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  

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3 805
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  

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3 1063
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

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3 873