Banker's Discount
- The present worth of a sum due sometime hence is ₹ 576 And banker's gain is ₹ 9. Find the true and discount ?
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Given that PW = ₹ 576 , BG = ₹ 9 and TD = ?
TD = PW x BGCorrect Option: D
Given that PW = ₹ 576 , BG = ₹ 9 and TD = ?
TD = PW x BG
= 576 x 9
= 24 x 3
= ₹ 72
- The present worth of a bill due sometime, hence is ₹ 2200 and true discount on the bill is ₹ 220. Find the banker's discount and banker's gain ?
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Given that, PW = ₹ 2200, TD = ₹ 220
According to the formula,
BG = (TD)2/PWCorrect Option: A
Given that, PW = ₹ 2200, TD = ₹ 220
According to the formula,
BG = (TD)2/PW = (220 x 220)/2200 = ₹ 22
BD = (TD + BG) = ₹(220 + 22) = ₹ 242
- The true discount on a bill 24 months, hence at 24% per annum, is ₹ 144. What will be the banker's discount ?
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Given that, R = 24%, T = 24 months= 2 yr and TD = ₹ 144
BD = TD + BG
According to the formula,
BG = (TD x R x T)/100 = (144 x 24 x 2)/100Correct Option: D
Given that, R = 24%, T = 24 months= 2 yr and TD = ₹ 144
BD = TD + BG
According to the formula,
BG = (TD x R x T)/100 = (144 x 24 x 2)/100
= ₹ 69.12
∴ BD = 144 + 69.12 = ₹ 213.12
- The face value of a bill due 5 yr hence is ₹ 13800. If the rate of simple interest is 5% per annum, what will be the banker's gain at the bill ?
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Give that A = ₹ 13800 , R = 5%
T = 5 yr and BG = ?
According to the formula,
BG = [A(R x T)2] / [100(100 + R x T)]Correct Option: A
Give that A = ₹ 13800 , R = 5%
T = 5 yr and BG = ?
According to the formula,
BG = [A(R x T)2] / [100(100 + R x T)]
= [13800(5 x 5)2] / [100(100 + 5 x 5)]
= (13800 x 625) / (100 x 125)
= ₹ 690
- The banker's discounted on a sum of money for 11/2 years is Rs. 60 and the true discount on the same sum for 2 years is Rs. 75. The rate percent is ?
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B.D. for 3/2 years = Rs. 60
B.D. for 2 years = Rs. (60 x 2) / (3 x 2) = Rs. 80
Now, B.D. = Rs. 80, T.D. = Rs. 75 and Time = 2 years.
∴ Sum = Rs. (80 x 75) / 5 = Rs. 1200
∴ Rs. 80 is S.I. Rs. 1200 for 2 years.Correct Option: D
B.D. for 3/2 years = Rs. 60
B.D. for 2 years = Rs. (60 x 2) / (3 x 2) = Rs. 80
Now, B.D. = Rs. 80, T.D. = Rs. 75 and Time = 2 years.
∴ Sum = Rs. (80 x 75) / 5 = Rs. 1200
∴ Rs. 80 is S.I. Rs. 1200 for 2 years.
So, rate = (100 x 80) / (1200 x 2)% = 31/3%