Banker's Discount
 The present worth (PW) of a sum due sometimes hence is Rs. 5760 and the banker’s gain is Rs. 10. What is the true discount?

 Rs. 480
 Rs. 420
 Rs. 120
 Rs. 240

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As per given question,
Present worth PW = 5760
Banker gain = 10
True Discount = ?
As we know the formula,
True Discount = √PW × BGCorrect Option: D
As per given question,
Present worth PW = 5760
Banker gain = 10
True Discount = ?
As we know the formula,
True Discount = √PW × BG
True Discount = √Present Worth × Banker's gain
True Discount = √5760 × 10 = √57600 = Rs. 240
 The banker’s discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due?

 Rs. 180
 Rs. 120
 Rs. 220
 Rs. 200

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Here , Banker's Discount = Rs 36 and True Discount = Rs 30
As we know that ,∴ F = Banker's Discount x True Discount Banker's Discount  True Discount Correct Option: A
Here , Banker's Discount = Rs 36 and True Discount = Rs 30
As we know that ,∴ F = Banker's Discount x True Discount Banker's Discount  True Discount ∴ F = 36 x 30 36  30 ∴ F = 36 x 30 6
⇒ F = 36 x 5 = Rs.180
Thus , the sum due is Rs.180 .
 The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker’s gain is:

 Rs. 21
 Rs. 17
 Rs. 18
 Rs. 34

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Given that : True Discount = Rs. 340 and Present worth = Rs. 3400
We know that ,Banker’s gain = ( True Discount ) ^{2} Present worth Correct Option: D
Given that : True Discount = Rs. 340 and Present worth = Rs. 3400
We know that ,Banker’s gain = ( True Discount ) ^{2} Present worth Banker’s gain = ( 340 ) ^{2} 3400 Banker’s gain = 340 x 340 = Rs. 34 3400
 The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?

 Rs. 600
 Rs. 500
 Rs. 400
 Rs. 300

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Here , Banker's Gain = Rs. 24 , Time = 2 years and Rate = 10%
According to question ,True Discount = Banker's Gain × 100 Time x Rate Correct Option: A
Here , Banker's Gain = Rs. 24 , Time = 2 years and Rate = 10%
According to question ,True Discount = Banker's Gain × 100 Time x Rate True Discount = 24 × 100 = Rs. 120 2 x 10 True Discount = PW x Time x Rate 100 120 = PW x 2 x 10 100
⇒ 1200 = Present Worth x 2Present Worth = 1200 = Rs. 600 2
Hence , the present worth is Rs. 600 .
 What is the present worth of a bill of Rs. 1764 due 2 years hence at 5% compound interest is:

 Rs. 1600
 Rs. 1200
 Rs. 1800
 Rs. 1400

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As per the given question ,
Amount = Rs. 1764 , Time = 2 years and Rate =
we know that ,Amount = PW 1 + R ^{2} 100 Correct Option: A
As per the given question ,
Amount = Rs. 1764 , Time = 2 years and Rate =
we know that ,Amount = PW 1 + R ^{2} 100 1764 = PW 1 + 5 ^{2} 100 1764 = PW 1 + 1 ^{2} 20 1764 = PW 21 ^{2} 20 1764 = PW x 441 400 PW = 1764 x 400 441
∴ Present worth = 4 x 400 = Rs. 1600