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 Simple Interest Questions

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FACTS  AND  FORMULAE  FOR  SIMPLE  INTEREST  QUESTIONS

 

 

1. Principal: The money borrowed or lent out for a certain period is called the principal or the sum.

 

2. Interest: Extra money paid for using other's money is called interest

 

3. Simple Interest (S.I.) : If the interest on a sum borrowed for a certain period is reckoned uniformly, then it is called simple interest.

Let Principal = P, Rate = R% per annum (p.a.) and Time = T years. Then,

(i)  S.I=P×T×R100

(ii)  P=100×S.IR×T ; R=100×S.IP×T and T=100×S.IP×R

Q:

A sum of Rs 2000 becomes Rs 3645 in 2 years at a certain rate of compound interest. What will be the sum (in Rs) after 4 years?

A) 5942.125 B) 6643.0125
C) 7243.0125 D) 7498.125
 
Answer & Explanation Answer: B) 6643.0125

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Q:

For an amount, simple interest at the rate of interest of 12% per annum for 6 years is Rs 25920. What will be the compound interest (in Rs) on same amount at the rate of interest of 8% per annum compounding annually for 2 years?

A) 4326.3 B) 5563.4
C) 5888.6 D) 5990.4
 
Answer & Explanation Answer: D) 5990.4

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0 1459
Q:

The amount of simple interest accrued on an amount of Rs 28,500 in seven years is Rs 23,940 What is the rate of interest p.c.p.a ?

A) 10.5 B) 12.5
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

Simple Interest = S.I= pnr/100 Given, S.I = 23940 , p = 28500 , n = 7 thus, r = 100x23940/28500x7 = 12

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4 1420
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 & Explanation 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

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1 1406
Q:

A sum fetched a total simple interest of Rs. 7056 at the rate of 8 percent per year in 7 years. What is the sum?

A) Rs 12600 B) Rs 15120
C) Rs 10080 D) Rs 7560
 
Answer & Explanation Answer: A) Rs 12600

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Q:

What is the rate of interest if simple interest earned on a certain sum for the 3rd year is Rs 1,750 and compound interest earned for 2 years is Rs 3622.5?

A) 8 B) 9
C) 10 D) 7
 
Answer & Explanation Answer: D) 7

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Q:

Simple interest on a sum for six months at 5% per annum is Rs 65.5.What is the value (in Rs) of sum ?

A) 2600 B) 2620
C) 1320 D) 2880
 
Answer & Explanation Answer: B) 2620

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Q:

A person borrows some money for 4 years at the rate of simple interest. If the ratio of principal and total interest is 5 : 1, then what is the rate ( in percentage) of interest?

A) 5 B) 25
C) 10 D) 20
 
Answer & Explanation Answer: A) 5

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