1
Q:

Both S.I. and C.I. is calculated with a similar rate of 10% per annum on a sum of rupees. If C.I. is calculated yearly for two years, then for what period must S.I. be evaluated such that S.I. = C.I.?

A) 4.2 years B) 2.1 years
C) 1.1 years D) 1.4 years

Answer:   B) 2.1 years



Explanation:

Let time period of S.I. be T years.

Then for a principal amount, say P,

ATQ, as, S.I. = C.I. for rate =10%p.a. and

time for C.I. = 2(P x 10 x T)/100 = P{[ (100+10)/100 ]2-1}T/10 = [ 110/100 ]2–1 = [(11/10)2–1] = (121-100)/100T/10 = 21/100T = 21/10 = 2.1 years

Subject: Simple Interest
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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

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10 1323
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

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2 1167
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

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6 899
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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3 890
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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6 878
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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3 828
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 1082
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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3 897