The banker's discount on Rs.3200 at 6% is the same as the true discount on Rs.3248 for the same time

M4maths Previous Puzzles

23 Aug 2016 Discount

The banker's discount on Rs.3200 at 6% is the same as the true discount on Rs.3248 for the same time and at the same rate. Then, the time is

OPtion

1) 2 months
2) 6 months
3) 8 months
4) 1 months
5) 4 months
6) 9 months
7) 10 months
8) 3 months
9) 11 months
10)None of these

Solution

SI on Rs.3200 = TD on Rs. 3248
Therefore 3200 is P.W. of Rs. 3248
=> Rs.48 is the SI on Rs. 3200 at 6%
Therefore Time = 100*48 / 3200*6 year = .25 = 1/4 year = 3 months

Option 8)

Correct Option: 8 Best Solution (20)

Rucha   8 years AGO

3248-3200=48
48*100/6*3200
=1/4 year
3months

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deepansh   8 years AGO

face value= true value+ discount
face value*time*interest/100=amount
6%of 3200=192
face value=3392

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JAYA TRIPATHI   8 years AGO

SI ON 3200 = TD ON 3248
ie. 48 IS ON THE 3200 @ 6%
48 = 3200*6*T/100
T = 1/4 TEARS
ie. = 3 MONTHS

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Baishali Roy   8 years AGO

S.I. on rs. 3200= True discount on 3248
So, (3248-3200)=48 is the interest on 3200
Hence, from I=Prt/100, we can say,
time= (48*100)/(3200*6)= 1/4 yr= 3months. (Opt. 8) (ans).

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shaik jasmin   8 years AGO

S.I on Rs 3200 = T.D on Rs 3248
Rs 48 is S.I on Rs 3200 at 6%
time=(100*48)/(6*3200)
=1/4 year
=(1/4)*12
=3 months

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soundarya   8 years AGO

Banker's discount = Face value*Time*interest
Banker's discount = 3200*T*6/100
True discount= Present value* Time* interest
= Face value*time*Interest/(100+(Time*interest))
=3248*T*6/(100+ 6T)
3200*6T/100=3248*6t/ 100+6T
192T= 3248-3200
T= 48/192
T=1/4
T= 3months

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sanjeet kumar   8 years AGO

Using formula we have,
3200*6*t/100 = 3248*6*t/(100+6t)
t = 3 months

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KAVITHA N   8 years AGO

Time = (100*48)/(3200*6) Year => 1/4 => 3 Months
where 48 is BG => 3248-3200 => 48

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akanksha singh   8 years AGO

bd=td
3200*6*n/100=3248*6*n/(100+(6n)
n=3 months

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Ponni   8 years AGO

3248-3200=48
(48*100)/(3200*6)=(1/4) year
=3 months

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Sangeetha Chinnasamy   8 years AGO

Time=(3248-3200)=48
=((48*100)/(3200*6))
=0.25
=1/4
=3months

Like? Yes | No   

G.S.Kantharao   8 years AGO

S.I on Rs.3200 = True discount on 3248
Time = (100*48)/(3200*6)
= 1/4 years.
= 3 months.
Right choice is 8.

Like? Yes (2) | No (2)  

G RAMAKRISHNA   8 years AGO

B. D =TD
» (3200*6*t)/100 = (3248*6*t)/(100+6t)

»t= 1/4 year (i. e 3months)

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Samjukta Das   8 years AGO

S.I. on Rs3200=T.D. on Rs 3248
Rs3200 is the P.W. of Rs3248 i.e. Rs 48 is on Rs3200 at 6%
Time=100*48/3200*6=1/4year=3months

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Rahul Das   8 years AGO

(3248*6*T)/(100+(6T))=(3200*6*T)/100
therefore T=1/4 year = 3 months

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Priyaj   8 years AGO

rs 3200 is pw of rs 3248
= rs 48 is on rs 3200 at 6%
time=(48*100)/(6*3200)
=1/4year
=3months

Like? Yes | No (1)  

sachin soni   8 years AGO

Let time = t(say)
Banker's Discount=FRT/100
where F=Face Value, R=Rate, T=Time
also F=PW+TD where PW=True Worth = 3200(here)
and TD= PRT/100=3200*6*t/100
hence F=3200+192t
(3200+192t)6t/100 = 3248*6t/100
hence after solving t=3months
option 8 is correct

Like? Yes (1) | No (2)  

SANDEEP KUMAR MAHATO   8 years AGO

S.I. on Rs. 3200 = T.D. on Rs. 3248

Rs. 3200 is the P.W. of Rs. 3248, i.e., Rs. 48 is on Rs. 3200 at 6%

Time = (100*48)/(3200*6) year = 1/4 year = 3 months

Option 8)

Like? Yes (2) | No (3)  

Mukund Manohar   8 years AGO

SI on Rs 3200 = TD on Rs 3248
Rs 3200 is the PW of Rs 3248,i.e. Rs 48 is on Rs 3200 at 6%
Time = {(100*48)/(3200*6)} = 1/4 year = 3 months

Like? Yes | No (1)  

Mridula Shaw   8 years AGO

B.D=(3200*6*T)/100=192*T

T.D=(3248*6*T)/(100+6*T)

ATP,B.D=T.D

192*T=(3248*6*T)/(100+6*T)
=>T=1/4 yrs
Thus, 3 months

Like? Yes | No (1)