FPSC · Other · N/A
Solved true discount MCQs — 16 questions on present worth, sum due, rate percent, time, instalments and settlement of debts, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers true discount problems.
Paper Snapshot
Questions
16
Time
16
Minutes
Subjects
1
Topics
8
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
This is the Arithmetic: True Discount solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 16 published questions (book pp. 761-762, of 17 printed) on present worth of a bill due in the future, the sum due from a given true discount, rate percent and time, two equal half-yearly instalments, and the settlement of mutual debts. Every answer was re-solved from scratch and agrees with the book's printed Answer Key on p. 762; one item (Q16) was dropped because its correct value is not among the printed options.
Paper Controls
Subject 1
Topic Section
6 solved MCQs shown directly below
Correct Answer: Rs. 750
Present worth = 930 x 100 / (100 + 8 x 3) = 93000 / 124 = Rs. 750.
Correct Answer: Rs. 6000
Present worth = 540 x 100 / (12 x 9/12) = Rs. 6000, so the bill amount is 6000 + 540 = Rs. 6540; the options list only the present worth, Rs. 6000.
Correct Answer: Rs. 1680
Present worth = 2310 x 100 / (100 + 15 x 2.5) = 231000 / 137.5 = Rs. 1680.
Correct Answer: Rs. 12000 in cash
The present worth of the credit offer is 12880 x 100 / (100 + 18 x 8/12) = Rs. 11500, less than Rs. 12000 cash, so the cash offer is better.
Correct Answer: Rs. 9200
He pays 9 months early, so he pays the present worth 10028 x 100 / (100 + 12 x 9/12) = 10028 x 100 / 109 = Rs. 9200.
Correct Answer: gains Rs. 50
The present worth of Rs. 2200 due in one year at 10% is 2200 / 1.10 = Rs. 2000, so he gains 2000 - 1950 = Rs. 50.
Topic Section
2 solved MCQs shown directly below
Correct Answer: Rs. 768
Sum due = 168 x (100 + 14 x 2) / (14 x 2) = 168 x 128 / 28 = Rs. 768. (The book prints "time discount" for true discount.)
Correct Answer: Rs. 1360
Sum due = Simple Interest x True Discount / (Simple Interest - True Discount) = 85 x 80 / 5 = Rs. 1360.
Topic Section
3 solved MCQs shown directly below
Correct Answer: 15%
Present worth = 2562 - 122 = Rs. 2440, so 122 = 2440 x R x (4/12) / 100, giving R = 15%.
Correct Answer: 14%
Simple interest 750 x R x 2 / 100 = 15R equals true discount 960 x R x 2 / (100 + 2R), giving 15(100 + 2R) = 1920, so R = 14%.
Correct Answer: 16 2/3%
The present worth of Rs. 688.50 must be 600 x 1.02 = Rs. 612, so 688.50 x 100 / (100 + R x 9/12) = 612, giving R = 16 2/3%.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 10 months
Present worth = 1760 - 160 = Rs. 1600, so 160 = 1600 x 12 x T / 100, giving T = 5/6 year = 10 months.
Topic Section
1 solved MCQs shown directly below
Correct Answer: Rs. 1764
Amount = 189 x (100 + 16 x 9/12) / (16 x 9/12) = 189 x 112 / 12 = Rs. 1764.
Topic Section
1 solved MCQs shown directly below
Correct Answer: Rs. 18.33
Present worth is Rs. 100, so R x T = 10; at double the time the present worth is 110 x 100 / 120 = Rs. 91.67, giving a true discount of Rs. 18.33.
Topic Section
1 solved MCQs shown directly below
Correct Answer: Rs. 1325
Each instalment is Rs. 702; present worth = 702 / 1.04 + 702 / 1.08 = 675 + 650 = Rs. 1325.
Topic Section
1 solved MCQs shown directly below
Correct Answer: Rs. 10.40
Present worth is Rs. 240, so R x T = 20 x 100 / 240 = 25/3; at half the time the true discount is 260 x (25/6) / (100 + 25/6) = Rs. 10.40.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
16 questions are published, of 17 printed in the book. Q16 was dropped, never guessed: the correct net payment (Rs. 21.19 by B) is not among its printed options, and the book's key (d) B - Rs. 50 is wrong.
Present worth of bills due in months or years, the sum due from a given true discount, rate percent and time, true discount at double or half the time, two equal half-yearly instalments, and the settlement of mutual debts by present worth.
Yes. Every published answer was re-solved from scratch and agrees with the book's printed Answer Key on p. 762, so there are no overrides. One flag: Q2's stem asks for both the bill amount and the present worth, but the options list only the present worth (Rs. 6000); the bill amount (Rs. 6540) is stated in its explanation.
True discount and present worth 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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