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Arithmetic: Banker's Discount — Solved MCQs Solved MCQs

Solved banker's discount MCQs — 15 questions on banker's discount, banker's gain, true discount, present worth, sum due and rate percent, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers banker's discount problems.

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Questions

15

Time

15

Minutes

Subjects

1

Topics

9

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About this paper

This is the Arithmetic: Banker's Discount solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 15 published questions (book p. 763, all 15 printed) on the banker's discount and banker's gain, their relation to the true discount and present worth, the sum due, and the rate percent and time. Every answer was re-solved from scratch and agrees with the book's printed Answer Key on p. 763, with no overrides and no dropped items.

mathematics-mcqs arithmetic-bankers-discount bankers-discount-mcqs bankers-gain-mcqs true-discount-mcqs fpsc-past-papers mathematics ppsc nts css-mpt one-paper-exams basic-arithmetic

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Arithmetic: Banker's Discount — Solved MCQs

Read mode 15 MCQs · 15 minutes

Subject 1

Mathematics

15 MCQs
1

Topic Section

Banker's Discount Banker's Discount From True Discount

2 solved MCQs shown directly below

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Q 1 Mathematics Banker's Discount Banker's Discount From True Discount

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?

A

Rs. 129

B

Rs. 133

C

Rs. 136

D

Rs. 140

View answer & explanation Ans: Rs. 129

Correct Answer: Rs. 129

Banker's gain = simple interest on the true discount = 120 x 15 x (1/2) / 100 = Rs. 9, so the banker's discount = 120 + 9 = Rs. 129.

Q 3 Mathematics Banker's Discount Banker's Discount From True Discount

The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:

A

Rs. 90

B

Rs. 100

C

Rs. 108

D

Rs. 150

View answer & explanation Ans: Rs. 108

Correct Answer: Rs. 108

Present worth = 540 - 90 = Rs. 450, so the banker's gain = 90 x 90 / 450 = Rs. 18, and the banker's discount = 90 + 18 = Rs. 108.

2

Topic Section

Banker's Discount Time

2 solved MCQs shown directly below

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Q 2 Mathematics Banker's Discount Time

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.

A

2 months

B

4 months

C

6 months

D

7 months

View answer & explanation Ans: 4 months

Correct Answer: 4 months

Banker's discount = 1800 x 12 x T / 100 and true discount = 1872 x 12 x T / (100 + 12T); equating them gives 100 + 12T = 104, so T = 1/3 year = 4 months.

Q 11 Mathematics Banker's Discount Time

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:

A

4 months

B

6 months

C

7 months

D

8 months

View answer & explanation Ans: 4 months

Correct Answer: 4 months

Banker's discount = 1600 x 15 x T / 100 and true discount = 1680 x 15 x T / (100 + 15T); equating them gives 100 + 15T = 105, so T = 1/3 year = 4 months.

3

Topic Section

Banker's Discount Banker's Discount From Present Worth

1 solved MCQs shown directly below

No Dropdown
Q 4 Mathematics Banker's Discount Banker's Discount From Present Worth

The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is:

A

Rs. 37.62

B

Rs. 40.50

C

Rs. 42.50

D

Rs. 45

View answer & explanation Ans: Rs. 37.62

Correct Answer: Rs. 37.62

Banker's gain = true discount squared / present worth = 36 x 36 / 800 = Rs. 1.62, so the banker's discount = 36 + 1.62 = Rs. 37.62.

4

Topic Section

Banker's Discount Banker's Gain

1 solved MCQs shown directly below

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Q 5 Mathematics Banker's Discount Banker's Gain

The present worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is:

A

Rs. 10

B

Rs. 16

C

Rs. 18

D

Rs. 22

View answer & explanation Ans: Rs. 16

Correct Answer: Rs. 16

Banker's gain = true discount squared / present worth = 160 x 160 / 1600 = Rs. 16.

5

Topic Section

Banker's Discount Present Worth

1 solved MCQs shown directly below

No Dropdown
Q 6 Mathematics Banker's Discount Present Worth

The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:

A

Rs. 600

B

Rs. 700

C

Rs. 800

D

Rs. 900

View answer & explanation Ans: Rs. 600

Correct Answer: Rs. 600

True discount = banker's gain x 100 / (rate x time) = 24 x 100 / (10 x 2) = Rs. 120, and present worth = true discount x 100 / (rate x time) = 120 x 100 / 20 = Rs. 600.

6

Topic Section

Banker's Discount True Discount

3 solved MCQs shown directly below

No Dropdown
Q 7 Mathematics Banker's Discount True Discount

The banker's gain on a bill due one year hence at 12% per annum is Rs. 6. The true discount is:

A

Rs. 50

B

Rs. 60

C

Rs. 70

D

Rs. 85

View answer & explanation Ans: Rs. 50

Correct Answer: Rs. 50

True discount = banker's gain x 100 / (rate x time) = 6 x 100 / (12 x 1) = Rs. 50.

Q 8 Mathematics Banker's Discount True Discount

The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:

A

Rs. 300

B

Rs. 400

C

Rs. 500

D

600

View answer & explanation Ans: Rs. 400

Correct Answer: Rs. 400

True discount = banker's discount x 100 / (100 + rate x time) = 420 x 100 / (100 + 15 x 4/12) = 42000 / 105 = Rs. 400.

Q 10 Mathematics Banker's Discount True Discount

The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs. 16. The true discount is:

A

Rs. 30

B

Rs. 48

C

Rs. 96

D

Rs. 120

View answer & explanation Ans: Rs. 96

Correct Answer: Rs. 96

True discount = square root of (present worth x banker's gain) = square root of (576 x 16) = square root of 9216 = Rs. 96.

7

Topic Section

Banker's Discount Banker's Discount From Banker's Gain

1 solved MCQs shown directly below

No Dropdown
Q 9 Mathematics Banker's Discount Banker's Discount From Banker's Gain

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

A

Rs. 1020

B

Rs. 1050

C

Rs. 1080

D

Rs. 1250

View answer & explanation Ans: Rs. 1020

Correct Answer: Rs. 1020

True discount = 270 x 100 / (12 x 3) = Rs. 750, so the banker's discount = 750 + 270 = Rs. 1020.

8

Topic Section

Banker's Discount Rate Percent

3 solved MCQs shown directly below

No Dropdown
Q 12 Mathematics Banker's Discount Rate Percent

The banker's discount on a sum of money for 1.5 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:

A

7%

B

9%

C

12%

D

18%

View answer & explanation Ans: 12%

Correct Answer: 12%

From the banker's discount, sum x rate = 558 x 100 / 1.5 = 37200; then 37200 x 2 / (100 + 2 x rate) = 600 gives 100 + 2 x rate = 124, so the rate is 12%.

Q 14 Mathematics Banker's Discount Rate Percent

The banker's discount on a certain sum due 2 years hence is 11/10 of the true discount. The rate percent is:

A

5%

B

9%

C

12%

D

15%

View answer & explanation Ans: 5%

Correct Answer: 5%

Banker's discount / true discount = (100 + rate x time) / 100 = 11/10, so rate x 2 = 10, giving a rate of 5%.

Q 15 Mathematics Banker's Discount Rate Percent

The banker's gain on a certain sum due 1 1/2 years hence is 3/25 of the banker's discount. The rate percent is:

A

7.5%

B

9 1/9%

C

10.5%

D

13%

View answer & explanation Ans: 9 1/9%

Correct Answer: 9 1/9%

Banker's gain / banker's discount = true discount / sum due = (rate x time) / (100 + rate x time) = 3/25, so 300 + 4.5 x rate = 37.5 x rate, giving a rate of 9 1/9%.

9

Topic Section

Banker's Discount Sum Due

1 solved MCQs shown directly below

No Dropdown
Q 13 Mathematics Banker's Discount Sum Due

The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:

A

Rs. 200

B

Rs. 360

C

Rs. 400

D

Rs. 425

View answer & explanation Ans: Rs. 360

Correct Answer: Rs. 360

Sum due = banker's discount x true discount / (banker's discount - true discount) = 72 x 60 / 12 = Rs. 360.

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Questions

Paper practice FAQs

How many questions are in the Arithmetic: Banker's Discount MCQ bank? +

15 questions, all 15 printed in the book. Nothing was dropped and no answer was overridden.

What does the Arithmetic: Banker's Discount bank cover? +

Finding the banker's discount from a given true discount, the banker's gain from the present worth, the true discount from a given banker's discount or gain, the present worth and the sum due, and the rate percent and time from the ratio of banker's discount to true discount or of banker's gain to banker's discount.

Are the answers verified? +

Yes. Every answer was re-solved from scratch — banker's gain as simple interest on the true discount, true discount as the square root of present worth times banker's gain, and the sum due as banker's discount times true discount divided by their difference — and agrees with the book's printed Answer Key on p. 763.

Which other exams does this bank help with? +

Banker's discount and true discount appear in the arithmetic sections of FPSC, PPSC, NTS, PTS and CSS MPT one-paper exams, so the same methods apply across all of them.

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