Simple Interest Questions

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:

There is 40% increase in an amount in 10 years at simple interest. What will be the compound interest of Rs. 30000 after 3 years at the same rate?

A) Rs 3745.92 B) Rs 7491.84
C) Rs 9364.8 D) Rs 5618.88
 
Answer & Explanation Answer: A) Rs 3745.92

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Q:

A sum of Rs 400 becomes Rs 448 at simple interest in 2 years. In how many years will the sum of Rs 550 amounts to Rs 682 at the same rate?

A) 2 B) 3
C) 3.5 D) 4
 
Answer & Explanation Answer: D) 4

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Q:

A sum becomes Rs 10000 in 10 years on simple interest at the rate of 10% per annum. What is the total interest (in Rs) of the 10 years?

A) 4000 B) 5000
C) 2500 D) 4500
 
Answer & Explanation Answer: B) 5000

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Q:

The difference between compound interest and simple interest on Rs. 5000 for 2 years at 8% per annum payable yearly is

A) Rs.30 B) Rs.31
C) Rs.33 D) Rs.32
 
Answer & Explanation Answer: D) Rs.32

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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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Q:

The difference between the compound interest compounding half yearly for 1 year and the simple interest for 1 year on a certain sum of money lent out at 8% per annum is Rs 64. What is the sum (in Rs)?

A) 40000 B) 42000
C) 44000 D) 44800
 
Answer & Explanation Answer: A) 40000

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Q:

A certain sum of money becomes 4 times of itself in 30 years at a rate of simple interest. In how many years it will become double of itself at the same rate of simple interest?

A) 20 B) 15
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

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Q:

An equal sum is invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The sum of interest obtained after 2 years from both the schemes is Rs 2961. If both schemes have 23% per annum interest rate, then what is the first year interest (in Rs)of simple interest scheme?

A) 500 B) 1100
C) 700 D) 900
 
Answer & Explanation Answer: C) 700

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