11. If the interest on Rs. 50 at 4¹/₂ be equal to the discount on Rs. 59 for the same time and at the same rate when is the latter sum due ?

1. 1. 2 years

   
   
   

   2. 4 years

   
   
   

   3. 6 years

   
   
   

   4. 3 years

   
   
   

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1. View Hint View Answer Discuss in Forum

   ∵ 9 / 2 = 59 - 50 / 50 x T x 100
   ∴ T = 4 years

   Correct Option: B

   ∵ 9/2 = [(59 - 50) x 100] / 50 x T
   ∴ T = 4 years

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12. The true discount on Rs. 340 due 5 years hence is Rs. 40. Find the rate percent ?

1. 1. 3%

   
   
   

   2. 2²/₃%

   
   
   

   3. 3¹/₃%

   
   
   

   4. 3²/₃%

   
   
   

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1. View Hint View Answer Discuss in Forum

   T.D. = [Amount x R x T] / [100 + (R x T)]
   

   Correct Option: B

   T.D. = [Amount x R x T] / [100 + (R x T)]
   ⇒ 40 = [340 x R x 5] / [100 + 5R]
   ⇒ 40 = (1700 x R) / (100 + 5R)
   ∴ R = 2²/₃%;

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13. The true discount on a certain sum of money due after 2¹/₂ years at 6% per annum is less than the simple interest on the same sum for the same time by Rs. 81. Find the sum?

1. 1. Rs. 4140

   
   
   

   2. Rs. 4240

   
   
   

   3. Rs. 4150

   
   
   

   4. Rs. 4250

   
   
   

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1. View Hint View Answer Discuss in Forum

   Req. amount = [81 x (100 + 6 x 5/2) x 100] / [(6 x 5/2)²]
   = (8100 x 115) / 225

   Correct Option: A

   Req. amount = [81 x (100 + 6 x 5/2) x 100] / [(6 x 5/2)²]
   = (8100 x 115) / 225
   = Rs. 4140
   Here, S.I. - T.D. = Rs. 81
   

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14. What is the present worth of Rs. 272.61 due in 2 years 73 days at 7¹/₂ percent ?

1. 1. Rs. 334

   
   
   

   2. Rs. 254

   
   
   

   3. Rs. 234

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Required answer = (100 x 272.61) / (100 + 15/2 x 2⁷³/₃₆₅)

   Correct Option: C

   Required answer = (100 x 272.61) / (100 + 15/2 x 2⁷³/₃₆₅)
   = 27261 / (100 + 33/2) = (27261 x 2)/233
   = Rs. 234.

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15. Find the present worth of Rs. 264 due in 2 years reckoning simple interest at 5 percent per annum ?

1. 1. Rs. 240

   
   
   

   2. Rs. 360

   
   
   

   3. Rs. 540

   
   
   

   4. Rs. 260

   
   
   

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1. View Hint View Answer Discuss in Forum

   P.W. = (100 x 264) / (100 + 5 x 2)

   Correct Option: A

   P.W. = (100 x 264) / (100 + 5 x 2)
   = Rs. (100 x 264) / 110
   = Rs. 240.

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