31. The amount to be paid, when principal = Rs. 2000, rate of simple interest (R) = 5%, T = 2 years, is :
    

1. 1. Rs. 3,200
      

   
   
   

   2. Rs. 2,400
      

   
   
   

   3. Rs. 2,200
      

   
   
   

   4. Rs. 3,400

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , Principal = Rs. 2000, rate (R) = 5% , T = 2 years,
   

   SI =	Principal × Time × Rate
   	100

   
   

   SI =	2000 × 2 × 5
   	100

   
   SI = Rs. 200
   

   Correct Option: C

   Here , Principal = Rs. 2000, rate (R) = 5% , T = 2 years,
   

   SI =	Principal × Time × Rate
   	100

   
   

   SI =	2000 × 2 × 5
   	100

   
   SI = Rs. 200
   ∴ Required amount = Principle + SI = Rs. (2000 + 200) = Rs. 2200

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32. The rate of simple interest for which Rs. 6,000 will amount to Rs. 6,900 in 3 years is
    

1. 1. 5%
      

   
   
   

   2. 7%
      

   
   
   

   3. 2%
      

   
   
   

   4. 4%

   
   
   

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1. View Hint View Answer Discuss in Forum

   We know that ,
   S.I. = Amount – Principal
   S.I. = Rs. (6900 – 6000) = Rs. 900
   

   ∴ Rate =	Simple Interest × 100
   	Principal × Time

   
   

   Correct Option: A

   We know that ,
   S.I. = Amount – Principal
   S.I. = Rs. (6900 – 6000) = Rs. 900
   

   ∴ Rate =	Simple Interest × 100
   	Principal × Time

   
   

   Rate =	900 × 100
   	6000 × 3

   
   Rate = 5% per annum

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33. A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is :

1. 1. 5	5	%
      	9

   
   
   

   2. 6	5	%
      	9

   
   
   

   3. 18%
      

   
   
   

   4. 25%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Principal = P
   

   Amount =	7P
   	6

   
   

   S.I. =	7P	- P =	P
   	6		6

   
   

   ∴ R =	SI × 100	=	P × 100
   	Principal × Time		6 × P × 3

   
   

   R =	50	= 5	5	%
   	9		9

   
   Second method to solve this question :
   

   R% =	(7/6 - 1) × 100%
   	3

   
   

   Correct Option: A

   Let Principal = P
   

   Amount =	7P
   	6

   
   

   S.I. =	7P	- P =	P
   	6		6

   
   

   ∴ R =	SI × 100	=	P × 100
   	Principal × Time		6 × P × 3

   
   

   R =	50	= 5	5	%
   	9		9

   
   Second method to solve this question :
   

   R% =	(7/6 - 1) × 100%
   	3

   
   

   R =	1	× 100%
   	18

   
   

   R =	50	%
   	9

   
   

   R = 5	5	%
   	9

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34. A person lent 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum simple interest. The total interest after 2 years is 440. To find the sum of money lentat each of the above rates, 5,000 is to be divided in the ratio :
    

1. 1. 4 : 5
      

   
   
   

   2. 3 : 2
      

   
   
   

   3. 5 : 4
      

   
   
   

   4. 2 : 3

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the sum of p be lent at the rate of 4% and (5000 – p) at the rate of 5%
   we know that ,
   

   SI =	P × R × T
   	100

   
   From question , we have
   

   p × 4 × 2	+	(5000 - p) × 5 × 2	= 440
   100		100

   
   

   Correct Option: D

   Let the sum of p be lent at the rate of 4% and (5000 – p) at the rate of 5%
   we know that ,
   

   SI =	P × R × T
   	100

   
   From question , we have
   

   p × 4 × 2	+	(5000 - p) × 5 × 2	= 440
   100		100

   
   ⇒ 8p + 50000 – 10p = 44000
   ⇒ 2p = 50000 – 44000 = 6000
   ⇒ p = ₹ 3000
   ∴ (5000 – p) = (5000 – 3000) = 2000
   Now, Required ratio = First part : second part = 3000 : 2000 = 3 : 2

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35. Find the interest on ₹ 1460 at 10% from 5th February, 1992 to 25th April, 1992.
    

1. 1. ₹ 32
      

   
   
   

   2. ₹ 36
      

   
   
   

   3. ₹ 40
      

   
   
   

   4. ₹ 34

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , P = ₹ 1460
   R = 10%
   1992 is a leap year .
   ∴ T = (24 + 31 + 25) days = 80 days
   As we know that ,
   

   I =	PRD
   	36500

   
   

   Correct Option: A

   Given that , P = ₹ 1460
   R = 10%
   1992 is a leap year .
   ∴ T = (24 + 31 + 25) days = 80 days.
   As we know that ,
   

   I =	PRD
   	36500

   
   

   I =	1460 × 10 × 80
   	36500

   
   I = ₹ 32.
   Note : We have excluded 5th February but included 25th

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