100+ True Discount Aptitude Questions and Answers Pdf - 1

Question: 1

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

(A) Rs. 1360

(B) Rs. 1450

(C) Rs. 1800

(D) Rs. 6800

Ans: A

Sum = $${S.I. × T.D.} / {(S.I.) – (T.D.)}$$ = $${85 × 80} / {85 - 80}$$ = Rs. 1360.

Question: 2

A man buys a watch for Rs.1950 in cash and sells it for Rs.2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man

(A) gains Rs. 30

(B) loses Rs. 30

(C) gains Rs. 50

(D) gains Rs. 55

Ans: C

S.P. = P.W. of Rs.2200
due 1 year hence = Rs.$$[{2200 × 100} / {100 + (10 × 1)}]$$ = Rs. 2000.

∴ Gain = Rs. (2000 – 1950) = Rs. 50.

Question: 3

Rs.20 is the true discount on Rs.210 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

(A) Rs. 10

(B) Rs. 10.10

(C) Rs. 10.50

(D) Rs. 10.70

Ans: C

S.I. on Rs. (210 – 20) for a given time = Rs. 20.

S.I. on Rs. 190 for half the time = Rs. 10.

∴ T.D. on Rs. 200 = Rs. 10

∴ T.D. on Rs. 210 = $$({10} / {200} × 210)$$ = Rs. 10.50.

Question: 4

A man purchased a cow for Rs.3000 and sold it the same day for Rs.3600, allowing the buyer a credit of 2 years. If the rate of interest be 10 % per annum, then the man has a gain of

(A) 10%

(B) 7.5%

(C) 5%

(D) 0%

Ans: D

C.P. = Rs. 3000.

S.P. = Rs. $$[{3600 × 100} / {100 + (10 × 2)}]$$ = Rs. 3000.

Gain = 0%.

Question: 5

Find the present worth of Rs.1341 due 4 years hence at 9% per annum.

(A) Rs. 700

(B) Rs. 850

(C) Rs. 950

(D) Rs. 990

Ans: C

P.W. = $${100 × Amount} / {100 + (R × T)}$$

     = Rs.$${100 × 1341} / {100 + (9 × 4)}$$

     = Rs.$$ {100 × 1341} / {136}$$      = Rs. 950.

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