Aptitude - Banker's Discount - Discussion

Discussion Forum : Banker's Discount - General Questions (Q.No. 2)
2.
The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:
3 months
4 months
6 months
8 months
Answer: Option
Explanation:

S.I. on Rs. 1600 = T.D. on Rs. 1680.

Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.

Time = 100 x 80 year = 1 year = 4 months.
1600 x 15 3

Discussion:
33 comments Page 1 of 4.

Smrithi said:   3 years ago
15/100*1600 = 240.
(1)

Sumaira said:   4 years ago
@Mahesh.

Can you explain how 1600_15% is equal to 240?

Anyone else please explain this.
(4)

Rumesh said:   4 years ago
Formula for T.D = Amount * R * T /100 + (R*T).
Formula for B.D = Amount * R * T /100.

Given data:
B.D. 's amount = 1600,
T.D 's amount = 1680,
R = 15 %,
T = ?.
B.D = T.D ( given B.D is same as T.D).

Amount * R * T/100 = Amount * R * T/100 + (R*T),
1600 * 15 * T/100 = 1680 * 15 * T/100 + ( 15 * T),

On simplification we get, T = 1/3 years.
To convert years to months, multiply by 12.
T = 1/3 * 12 = 4 months.
(16)

Nahwera David said:   4 years ago
Anyone help me to get it clearly?

Jasmine said:   5 years ago
What is the formula for time? Please, anyone, tell me.
(2)

Mahesh said:   6 years ago
1600-15% = 240
1680-1600 = 80
80/240 = 1/3 *"4/12 = 1/3" * 4 is no of months /12 is total months,
So, the answer is = 4 Months.
(2)

S. Jamesanderson said:   7 years ago
Please explain the solution with the shortcut method.

Saurav said:   7 years ago
How did 240 come? Please explain.

Mithun pk said:   7 years ago
I think T.D is 1600 and B.D is 1680.

Then based on T.D formula this can be solved.

Navaraj said:   7 years ago
Why 1600 is taken in time calculation?

If Td is 1680.


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