# Aptitude - Banker's Discount - Discussion

### Discussion :: Banker's Discount - General Questions (Q.No.4)

4.

The banker's discount on a sum of money for 1 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:

 [A]. 10% [B]. 13% [C]. 12% [D]. 15%

Answer: Option C

Explanation:

B.D. for years = Rs. 558.
B.D. for 2 years
 = Rs. 558 x 2 x 2 3
= Rs. 744

T.D. for 2 years = Rs. 600. Sum = B.D. x T.D. = Rs. 744 x 600 = Rs. 3100. B.D. - T.D 144

Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years. Rate = 100 x 744 % = 12% 3100 x 2

 S.V.S Rama Chaitanya said: (Dec 3, 2010) how bankers discount for 2yr's has taken .it is given for true discount only

 Krishna said: (Mar 20, 2011) Given banker's discount(b.d) for 3/2 yrs = 558 then banker's discount(b.d) for 2 yrs = x x=(558*2)/(3/2) x=744 we know t.d=(b.d*100)/(100+(r*t)) 600=(744*100)/(100+(r*2)) Therefore, r=12%

 Raja said: (Aug 26, 2014) What is bankers discount? How is it differed from true discount?

 Mausami said: (Oct 24, 2014) The above given formula applied for amount finding but there been used to find out principle. How anyone?

 Dharani said: (Mar 14, 2015) @Krishna sir how x=(558*2)/3/2 comes? Can you explain me.

 Nandini said: (Mar 14, 2015) Help with this given total population 9000. If male increase by5% and female by 8% the population would be 9600. Find number of male and female?

 Mohan said: (Aug 23, 2015) @Nandini. Let x = No of males, y = No of female. x+y = 9000. As males increased by 5% no of males become 1.05*x, female becomes 1.08*y there for 1. 05x+1.08y = 9600 by solving the above two equations you will get the answer.

 Yashwanth said: (Nov 24, 2015) What is the formula for B.D for 2 years?

 Rizu said: (Apr 16, 2016) I got it, thanks @Krishna.

 Wendale said: (Aug 18, 2016) @Yashwanth. bd * 2/3/2.

 Nbd said: (Mar 12, 2017) Why we can't calculate T.D for 3/2 years = Rs 450. B.D=558, T.D=450. So, Sum=B.DX T.D/(B.D-T.D), If we calculate, it comes out R=16% per annum. Please, tell me where is the mistake?

 Magesh said: (Dec 22, 2017) I can't understand the solution can anyone help me to understand in simple way?

 Megha Mahale said: (Jul 3, 2018) What is the Formula for the rate?

 Kamal said: (Jul 14, 2018) What is true dicount?

 Ritu said: (Sep 26, 2018) B.D = A*r*t1/100 ---> (1) and T.D. = A*r*t2/(100+rt2) ---> (2). Now as the amount or sum of money is same so from (1) A= B.D*100/(r*t1). From (2) A= T.D*(100+r*t2)/(r*t2). Put values and compare both as 'A' is same. 558*100/(r*3/2) = 600*(100+2r)/(2r). 55800*2/3 = 300(100+2r). On solving 1860 = 1500 + 30r. r = 360/30. r = 12% answer.

 Divya said: (Jan 2, 2019) How come X=558*2? Please explain me.

 Kathir said: (Feb 1, 2019) For 2 years X = 558 * 2.

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