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Number of Questions: 10
Time: 10 Minutes
Category: Aptitude
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Question 1 of 20
1. Question
The banker’s discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Correct
T.D. =
= Rs.
= Rs. ()= Rs. 400.
Incorrect
T.D. =
= Rs.
= Rs. ()= Rs. 400.

Question 2 of 20
2. Question
The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker’s discount is:
Correct
T.D.=()
=Rs.()
=Rs.750
B.D. = Rs.(750+270) =Rs. 1020Incorrect
T.D.=()
=Rs.()
=Rs.750
B.D. = Rs.(750+270) =Rs. 1020 
Question 3 of 20
3. Question
A bill for Rs. 3000 is drawn on 14th July at 5 months. It is discounted on 5th October at 10%. What is the Banker’s Discount?
Correct
F = Rs. 3000
R = 10%
Date on which the bill is drawn = 14th July at 5 months
Nominally Due Date = 14th December
Legally Due Date = 14th December + 3 days = 17th December
Date on which the bill is discounted = 5th October
Unexpired Time
= [6th to 31st of October] + [30 Days in November] + [1st to 17th of December]
= 26 + 30 + 17 = 73 Days= year
= year
BD = Simple Interest on the face value of the bill for unexpired time
=
=
=30 * *10
= Rs. 60Incorrect
F = Rs. 3000
R = 10%
Date on which the bill is drawn = 14th July at 5 months
Nominally Due Date = 14th December
Legally Due Date = 14th December + 3 days = 17th December
Date on which the bill is discounted = 5th October
Unexpired Time
= [6th to 31st of October] + [30 Days in November] + [1st to 17th of December]
= 26 + 30 + 17 = 73 Days= year
= year
BD = Simple Interest on the face value of the bill for unexpired time
=
=
=30 * *10
= Rs. 60 
Question 4 of 20
4. Question
If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, what is the banker’s discount on the same sum for the same time and at the same rate?
Correct
B.G. = S.I. on T.D. = Rs. [120 * 15 * 1/2 * 1/100] = Rs. 9.
∴ (B.D.) – (T.D.) = Rs.9.
∴ B.D. = Rs. (120 + 9) = Rs. 129.Incorrect
B.G. = S.I. on T.D. = Rs. [120 * 15 * 1/2 * 1/100] = Rs. 9.
∴ (B.D.) – (T.D.) = Rs.9.
∴ B.D. = Rs. (120 + 9) = Rs. 129. 
Question 5 of 20
5. Question
The present wort of a sum due sometime hence is Rs. 576 and the banker’s gain is Rs. 16. The true discount is :
Correct
T.D. = √P.W. * B.G. = √576 * 16 = 96.
Incorrect
T.D. = √P.W. * B.G. = √576 * 16 = 96.

Question 6 of 20
6. Question
The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:
Correct
Sum =
=
=Rs.1360Incorrect
Sum =
=
=Rs.1360 
Question 7 of 20
7. Question
The present worth of a certain bill due sometime hence is Rs. 1296 and the true discount is Rs. 72. What is the banker’s discount?
Correct
Incorrect

Question 8 of 20
8. Question
The present worth of a certain bill due sometime hence is Rs. 400 and the true discount is Rs. 20. What is the banker’s discount?
Correct
Incorrect

Question 9 of 20
9. Question
If Rs. 10 be allowed as true discount on bill of Rs. 110 due at the end of a certain time, then the discount allowedon the same sum due at the end of double the time is:
Correct
S.I. on Rs. (110 – 10) for a certian time = Rs. 10.
S.I. on Rs. 100 for double the time = Rs. 20.
T.D. on Rs. 120 = Rs. (120 – 100) = Rs.20
T.D. on Rs. 110 = Rs. [20 /120 * 110] = Rs. 18.33Incorrect
S.I. on Rs. (110 – 10) for a certian time = Rs. 10.
S.I. on Rs. 100 for double the time = Rs. 20.
T.D. on Rs. 120 = Rs. (120 – 100) = Rs.20
T.D. on Rs. 110 = Rs. [20 /120 * 110] = Rs. 18.33 
Question 10 of 20
10. Question
The banker’s discount on a sum of money for years is Rs. 120. The true discount on the same sum for 2 years is Rs.150. What is the rate per cent?
Correct
Incorrect

Question 11 of 20
11. Question
Find the present worth of Rs. 930 due 3 years hence at 8% per annum. Also find the discount.
Correct
P.W=100 x Amount /[100 + (R x T)]
=Rs.100 x 930/100+ (8×3)
= (100×930)/124
= Rs. 750,
T.D. = (Amount) – (P.W.) = Rs. (930 – 750) = Rs. 180.
Incorrect
P.W=100 x Amount /[100 + (R x T)]
=Rs.100 x 930/100+ (8×3)
= (100×930)/124
= Rs. 750,
T.D. = (Amount) – (P.W.) = Rs. (930 – 750) = Rs. 180.

Question 12 of 20
12. Question
The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.
Correct
Let amount be Rs. x. Then,
x*R*T/100 + (R x T)
=T.D.
=>x * 12*3/ 4/[100+[12*3/4]]
=540
x= 540×109 = Rs.6540
Amount – Rs. 6540. P.W. = Rs. (6540 – 540) – Rs. 6000.
Incorrect
Let amount be Rs. x. Then,
x*R*T/100 + (R x T)
=T.D.
=>x * 12*3/ 4/[100+[12*3/4]]
=540
x= 540×109 = Rs.6540
Amount – Rs. 6540. P.W. = Rs. (6540 – 540) – Rs. 6000.

Question 13 of 20
13. Question
The true discount on a certain sum of money due 3 years hence is Rb. 250 and the simple interest on the same sum for the same time and at the same rate is Rs. 375. Find the sum and the rate percent.
Correct
T.D. = Rs. 250 and S.I. = Rs. 375.
Sum due =S.I. xT.D./ S.I. T.D.
=375×250/375 250
=Rs.750.
Rate=[100*375/750*3]%=
T.D. = Rs. 250 and S.I. = Rs. 375.
Sum due =S.I. xT.D./ S.I. T.D.
=375×250/375 250
=Rs.750.
Rate=[100*375/750*3]%=16 2/3%
Incorrect
T.D. = Rs. 250 and S.I. = Rs. 375.
Sum due =S.I. xT.D./ S.I. T.D.
=375×250/375 250
=Rs.750.
Rate=[100*375/750*3]%=
T.D. = Rs. 250 and S.I. = Rs. 375.
Sum due =S.I. xT.D./ S.I. T.D.
=375×250/375 250
=Rs.750.
Rate=[100*375/750*3]%=16 2/3%

Question 14 of 20
14. Question
The difference between the simple interest and true discount on a certain sum of money for 6 months at 12—% per annum is Rs. 25. Find the sum.
Correct
. Let the sum be Rs. x. Then,
T.D. = (x*25/2*1/2)/(100+(25/2*1/2))=x*25/4*4/425=x/17
S.I=x*25/2*1/2*1/100=x/16
x/16x/17=25
=>17x16x=25*16*17
=>x=6800
Hence, sum due = Rs. 6800.
Incorrect
. Let the sum be Rs. x. Then,
T.D. = (x*25/2*1/2)/(100+(25/2*1/2))=x*25/4*4/425=x/17
S.I=x*25/2*1/2*1/100=x/16
x/16x/17=25
=>17x16x=25*16*17
=>x=6800
Hence, sum due = Rs. 6800.

Question 15 of 20
15. Question
A bill falls due in 1 year. The creditor agrees to accept immediate payment of the half and to defer the payment of the other half for 2 years. By this arrangement ins Rb. 40. What is the amount of the bill, if the money be worth 12z% ?
Correct
. Let the sum be Rs. x. Then,
[x/2+(x/2*100)/100+(25/2*2)][(x*100)/(100+25/2*1]
=40
=>x/2+2x/58x/9=40
=>x=3600
Amount of the bill – Rs. 3600.
Incorrect
. Let the sum be Rs. x. Then,
[x/2+(x/2*100)/100+(25/2*2)][(x*100)/(100+25/2*1]
=40
=>x/2+2x/58x/9=40
=>x=3600
Amount of the bill – Rs. 3600.

Question 16 of 20
16. Question
A bill for Rs. 6000 is drawn on July 14 at 5 months. It is discounted on 5th October at 10%. Find the banker’s discount, true discount, banker’s gain and the money that the holder of the bill receives.
Correct
Face value of the bill = Rs. 6000.
Date on which the bill was drawn = July 14 at 5 months. Nominally due date = December 14.
Legally due date = December 17.
Date on which the bill was discounted = October 5.
Unexpired time : Oct. Nov. Dec.
26 + 30 + 17 = 73 days =1/ 5Years
B.D. = S.I. on Rs. 6000 for 1/5 year
= Rs. (6000 x 10 x1/5 x1/100)= Rs. 120.
T.D. = Rs.[(6000 x 10 x1/5)/(100+(10*1/5))]
=Rs.(12000/102)=Rs. 117.64.
B.G. = (B.D.) – (T.D.) = Rs. (120 – 117.64) = Rs. 2.36.
Money received by the holder of the bill = Rs. (6000 – 120)
= Rs. 5880.
Incorrect
Face value of the bill = Rs. 6000.
Date on which the bill was drawn = July 14 at 5 months. Nominally due date = December 14.
Legally due date = December 17.
Date on which the bill was discounted = October 5.
Unexpired time : Oct. Nov. Dec.
26 + 30 + 17 = 73 days =1/ 5Years
B.D. = S.I. on Rs. 6000 for 1/5 year
= Rs. (6000 x 10 x1/5 x1/100)= Rs. 120.
T.D. = Rs.[(6000 x 10 x1/5)/(100+(10*1/5))]
=Rs.(12000/102)=Rs. 117.64.
B.G. = (B.D.) – (T.D.) = Rs. (120 – 117.64) = Rs. 2.36.
Money received by the holder of the bill = Rs. (6000 – 120)
= Rs. 5880.

Question 17 of 20
17. Question
If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, what is the banker’s discount on the same sum for the same time and at the same rate?
Correct
B.G. = S.I. on T.D.
= Rs.(120 x 15 x 1/2 x 1/100)
= Rs. 9.
(B.D.) – (T.D.) = Rs. 9.
B.D. = Rs. (120 + 9) = Rs. 129.
Incorrect
B.G. = S.I. on T.D.
= Rs.(120 x 15 x 1/2 x 1/100)
= Rs. 9.
(B.D.) – (T.D.) = Rs. 9.
B.D. = Rs. (120 + 9) = Rs. 129.

Question 18 of 20
18. Question
The banker’s discount on Rs. 1800 at 12% per annum is equal to the true discount on Rs. 1872 for the same time at the same rate. Find the time.
Correct
S.I. on Rs. 1800 = T.D. on Rs. 1872.
P.W. of Rs. 1872 is Rs. 1800.
Rs. 72 is S.I. on Rs. 1800 at 12%.
Time =[(100 x 72)/ (12×1800)]year
1/3year = 4 months.
Incorrect
S.I. on Rs. 1800 = T.D. on Rs. 1872.
P.W. of Rs. 1872 is Rs. 1800.
Rs. 72 is S.I. on Rs. 1800 at 12%.
Time =[(100 x 72)/ (12×1800)]year
1/3year = 4 months.

Question 19 of 20
19. Question
The banker’s discount and the true discount on a sum of money due 8 months hence are Rs. 120 and Rs. 110 respectively. Find the sum and the rate percent.
Correct
Sum =[( B.D.*T.D.)/(B.D.T.D.)]
= Rs.[(120×110)/(120110)]
= Rs. 1320.
Since B.D. is S.I. on sum due, so S.I. on Rs. 1320 for 8 months is Rs. 120.
Rate =[(100 x120)/( 1320 x 2/3)%
= 13 7/11%.
Incorrect
Sum =[( B.D.*T.D.)/(B.D.T.D.)]
= Rs.[(120×110)/(120110)]
= Rs. 1320.
Since B.D. is S.I. on sum due, so S.I. on Rs. 1320 for 8 months is Rs. 120.
Rate =[(100 x120)/( 1320 x 2/3)%
= 13 7/11%.

Question 20 of 20
20. Question
The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker’s discount and the banker’s gain.
Correct
T.D. =Ö(P.W.*B.G)
B.G. =(T.D.)2/ P.W.
= Rs.[(110×110)/ 1100]
= Rs. 11.
B.D.= (T.D. + B.G.) = Rs. (110 + 11) = Rs. 121.
Incorrect
T.D. =Ö(P.W.*B.G)
B.G. =(T.D.)2/ P.W.
= Rs.[(110×110)/ 1100]
= Rs. 11.
B.D.= (T.D. + B.G.) = Rs. (110 + 11) = Rs. 121.