Aptitude - Banker's Discount - Discussion
Discussion Forum : Banker's Discount - General Questions (Q.No. 7)
7.
The certain worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is:
Answer: Option
Explanation:
| B.G. = | (T.D.)2 | = Rs. |  |
160 x 160 |  |
= Rs. 16. |
| P.W. | 1600 |
Discussion:
8 comments Page 1 of 1.
Delhi said:
6 years ago
Why do we consider the bankers gain is the difference b/w bankers discount and the true discount? Please explain.
Sukumar Satyen said:
10 years ago
Following is explanation:
Face Value of Bill (F) is to be found out.
Given that,
Present Worth (PW) = Rs. 1600.
True Discount (TD) = Rs. 160 which is simple interest on Present Worth (PW).
=> TD = PW*T*R/100.
=> 160 = 1600*T*R/100.
=> 160*100/1600 = T*R......equation (1).
We know, PW = F/[1+(T*R/100)].
=> PW*[1+(T*R/100)] = F.
=> 1600*[1+{(160*100/1600)*(1/100)}] = F.
=> 1600*[1+{1/10}] = F.
=> F = 1600*11/10........equation (2).
Banker's Discount is simple interest on Face Value of Bill (F).
=> BD = F*T*R/100.
Using Equation (1) & (2),
=> BD = (1600*11/10)*(160*100/1600)*(1/100).
=> BD = (1600*11*160*100)/(10*1600*100).
=> BD = 16*11 = Rs. 176.
We know, Banker's Gain (BG) is difference between Banker's Discount(BD) and True Discount(TD).
=> BG = BD - TD.
=> BG = 176 - 160 = Rs. 16.
Thanks.
Face Value of Bill (F) is to be found out.
Given that,
Present Worth (PW) = Rs. 1600.
True Discount (TD) = Rs. 160 which is simple interest on Present Worth (PW).
=> TD = PW*T*R/100.
=> 160 = 1600*T*R/100.
=> 160*100/1600 = T*R......equation (1).
We know, PW = F/[1+(T*R/100)].
=> PW*[1+(T*R/100)] = F.
=> 1600*[1+{(160*100/1600)*(1/100)}] = F.
=> 1600*[1+{1/10}] = F.
=> F = 1600*11/10........equation (2).
Banker's Discount is simple interest on Face Value of Bill (F).
=> BD = F*T*R/100.
Using Equation (1) & (2),
=> BD = (1600*11/10)*(160*100/1600)*(1/100).
=> BD = (1600*11*160*100)/(10*1600*100).
=> BD = 16*11 = Rs. 176.
We know, Banker's Gain (BG) is difference between Banker's Discount(BD) and True Discount(TD).
=> BG = BD - TD.
=> BG = 176 - 160 = Rs. 16.
Thanks.
Vidhya said:
1 decade ago
PW means Present Worth.
Mohan said:
1 decade ago
P.W means?
Lazycd said:
1 decade ago
Can Someone explain the question please?
Jai prakash said:
1 decade ago
Actual formula is T.D = sqrt(P.W*B.G).
By squaring on both sides it is (T.D)^2 = P.W*B.G (To remove square root, we are squaring on both sides).
Now B.G= (T.D)^2/P.W.
By squaring on both sides it is (T.D)^2 = P.W*B.G (To remove square root, we are squaring on both sides).
Now B.G= (T.D)^2/P.W.
Aishwarya said:
1 decade ago
Why its T.D square?
Isha said:
1 decade ago
Why its T. D square?
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