Aptitude - Banker's Discount - Discussion
Discussion Forum : Banker's Discount - General Questions (Q.No. 12)
12.
The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
Answer: Option
Explanation:
P.W. = Rs. (540 - 90) = Rs. 450.
S.I. on Rs. 450 = Rs. 90.
| S.I. on Rs. 540 = Rs. |  |
90 | x 540 |  |
= Rs. 108. |
| 450 |
B.D. = Rs. 108.
Discussion:
12 comments Page 2 of 2.
SUKUMAR SATYEN said:
1 decade ago
Following is explanation:
Given that,
Face Value of Bill (F) = Rs. 540.
True Discount (TD) = Rs. 90.
Banker's Discount (BD) is to be found out, which is simple interest on Face Value of Bill (F),
=> BD = F*R*T/100.
=> BD = 540*R*T/100....equation (1).
True Discount (TD) is simple interest on Present Worth (PW).
=> TD = PW*T*R/100.
=> 90 = PW*T*R/100.
=> 90/PW = T*R/100....equation (2).
We know, PW = F/[1+(T*R/100)].
=> PW*[1+(T*R/100)] = 540.
=> PW*[1+(90/PW)] = 540.
=> PW + 90 = 540.
=> PW = 540 - 90 = Rs. 450....equation (3).
From equation (2) & (3),
=> 90/450 = T*R/100....equation (4).
From equation (1) & (4),
=> BD = 540*90/450.
=> BD = Rs.108.
Thanks.
Given that,
Face Value of Bill (F) = Rs. 540.
True Discount (TD) = Rs. 90.
Banker's Discount (BD) is to be found out, which is simple interest on Face Value of Bill (F),
=> BD = F*R*T/100.
=> BD = 540*R*T/100....equation (1).
True Discount (TD) is simple interest on Present Worth (PW).
=> TD = PW*T*R/100.
=> 90 = PW*T*R/100.
=> 90/PW = T*R/100....equation (2).
We know, PW = F/[1+(T*R/100)].
=> PW*[1+(T*R/100)] = 540.
=> PW*[1+(90/PW)] = 540.
=> PW + 90 = 540.
=> PW = 540 - 90 = Rs. 450....equation (3).
From equation (2) & (3),
=> 90/450 = T*R/100....equation (4).
From equation (1) & (4),
=> BD = 540*90/450.
=> BD = Rs.108.
Thanks.
Samanwita Nandi said:
9 years ago
Thank you all for the given explanation.
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