Banker's Discount
- The banker's gain of a sum due 8 yr. hence at 24% per annum, is ₹ 144. Find the present worth of that bill ?
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Given that BG = ₹ 144 , R = 24%
T = 8 yr and PW = ?
According to the formula,
PW = BG x [100/(R x T)]2
= 144 x [100/(24 x 8)]2Correct Option: A
Given that BG = ₹ 144 , R = 24%
T = 8 yr and PW = ?
According to the formula,
PW = BG x [100/(R x T)]2
= 144 x [100/(24 x 8)]2
= 144 x (100/192) x (100/192)
= ₹ 39.06
- The true discount at a bill of ₹ 7440 due 16 months, hence is ₹ 240. Find the banker's gain ?
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Present worth of bill = ₹ (7440 - 240) = ₹ 7200
∴ Banker's Gain (BG) = (TD)2/PW
= (240 x 240) / 7200Correct Option: D
Present worth of bill = ₹ (7440 - 240) = ₹ 7200
∴ Banker's Gain (BG) = (TD)2/PW
= (240 x 240) / 7200
= 576/72
= ₹ 8
- Find the bankar's discount at a bill of ₹ 12750 due four months hence when rate of interest is 6% per annum ?
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Given That, A = ₹ 12750, R = 6%
and T = 4 Months = 4/12 = 1/3 yr , BD = ?
According to the formula,
BD = (A x R x T)/100Correct Option: C
Given That, A = ₹ 12750, R = 6%
and T = 4 Months = 4/12 = 1/3 yr , BD = ?
According to the formula,
BD = (A x R x T)/100
= [12750 x 6 x (1/3)] / 100
= (12750 x 2) / 100
= ₹ 255
- The banker's gain on a certain sum due 21/2 years hence is 2/23 of the banker's discount on it for the same time and at the same rate. Find the rate percent ?
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Rate percent = 100 x 2/5/ [ 3/(23 - 3)]
Correct Option: D
Rate percent = 100 x 2/5/ [ 3/(23 - 3)] = 6%
- The present worth of a sum due some times hence is Rs. 576 and the banker's gain is Re. 1. The true discount is ?
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T.D. √(P.W. x B.G. )
Correct Option: C
T.D. √(P.W. x B.G. )
= √(576 x 1) = Rs. 24
