# Banker’s Discount

## Banker's Discount

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Question 1 |

The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:

3 months | |

4 months | |

6 months | |

8 months |

Question 1 Explanation:

S.I. on Rs. 1600 = T.D. on Rs. 1680.
Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.
Time = (100 x 80)/(1600 x 15) year =1/3 year = 4 months.

Question 2 |

The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:

Rs. 480 | |

Rs. 520 | |

Rs. 600 | |

Rs. 960 |

Question 2 Explanation:

T.D. =(B.G. x 100)/(Rate x Time) => Rs.(24 x 100)/(10 x 2) => Rs. 120.
P.W. = (100 x T.D.)/(Rate x Time) => Rs. (100 x 120)/(10 x 2) => Rs. 600.

Question 3 |

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

Rs. 960 | |

Rs. 840 | |

Rs. 1020 | |

Rs. 760 |

Question 3 Explanation:

T.D. = (B.G. x 100)/(R x T)= Rs.(270 x 100)/(12 x 3) = Rs. 750.
B.D. = Rs.(750 + 270) = Rs. 1020.

Question 4 |

The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:

Rs. 360 | |

Rs. 432 | |

Rs. 540 | |

Rs. 1080 |

Question 4 Explanation:

Sum = (B.D. x T.D.)/(B.D. - T.D.)=> Rs. (72 x 60)/(72 - 60) ==> Rs. (72 x 60)/12 = Rs. 360.

Question 5 |

The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
A.
B.
C.
D.
Answer: Option D
Explanation:

Rs. 72 | |

Rs. 36 | |

Rs. 54 | |

Rs. 50 |

Question 5 Explanation:

T.D. = (B.G. x 100)/(R x T) => Rs.(6 x 100)/(12 x 1) = > Rs. 50.

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There are 5 questions to complete.