Arithmatical - Banker's Discount
DIRECTIONS : Problems based on Banker's Discount.
1. |
The banker's discount on Rs.1800 at 12% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time? |
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A. 3 months |
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B. 4 months |
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C. 5 months |
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D. 6 months |
Solution |
S.I on Rs.1800 = T.D on Rs.1872. |
P.W on Rs.1872 is Rs.1800. |
Rs.72 is S.I on Rs. 1800 at 12%. |
Time | =(100x72 / 12x1800) |
= 1/3 year |
= 4 months. |
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2. |
The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.6. The true discount is |
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A. Rs.72 |
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B. Rs.36 |
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C. Rs.54 |
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D. Rs.50 |
Solution |
T.D | = [B.G x 100 / R x T] |
= Rs.(6 x 100 / 12 x 1) |
= Rs.50. |
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3. |
If the true discount on a certain sum due 6 months hence at 15% is Rs.120. What is the banker's discount on the same sum for the same time and at the same rate? |
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A. Rs. 119 |
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B. Rs. 129 |
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C. Rs. 131 |
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D. Rs. 139 |
Solution |
B.G = S.I on T.D |
=Rs.(120x15x1/2x1/100) |
= Rs.9. |
(B.D)- (T.D) |
=Rs.9 |
B.D |
= Rs.(120 + 9) |
=Rs.129. |
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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 |
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A. Rs. 360 |
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B. Rs. 432 |
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C. Rs. 540 |
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D. Rs.1080 |
Solution |
Sum Given, T.D =60, B.D = 72 |
= (B.D x T.D / B. D - T.D) |
= Rs.(72x60/72-60) |
= Rs.(72 x 60 / 12) |
= Rs.(4320/ 12) |
= Rs. 360. |
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5. |
The true discount on a bill of Rs.540 is Rs.90.The banker's discount is |
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A. Rs.60 |
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B. Rs.108 |
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C. Rs.110 |
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D. Rs.112 |
Solution |
P.W |
= Rs.(540 - 90) |
= Rs. 450 |
S.I on Rs. 540 |
=Rs.(90/450 x 540) |
= Rs. 108. |
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