100+ True Discount Aptitude Questions and Answers Pdf - 2

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Model MCQ Online Test

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Question: 6

The true discount on Rs.1760 due after a certain time at 12% per annum is Rs.160. The time after which it is due is

(A) 6 months

(B) 8 months

(D) 11 months

View Answer

Ans: C

P.W. = Rs. (1760 - 160) = Rs. 1600

∴ S.I. on Rs. 1600 at 12% is Rs. 160

∴ Time = $$({100 × 160} / {1600 × 12})$$ = $${5}/{6}$$ years = $$({5}/{6} ×12)$$months = 10 months

Question: 7

If the true discount on a sum due 2 years hence at 14% per annum be Rs. 168, the sum due is

(A) Rs. 548

(B) Rs. 768

(D) Rs. 1960

View Answer

Ans: B

P.W. = $${100 × T.D.} / {R × T}$$ = $${100 × 168} / {14 × 2}$$ = 600.

∴ Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.

Question: 8

The interest on Rs.750 for 2 years is the same as the true discount on Rs.960 due 2 years hence. If the rate of interest is the same in both cases, it is

(A) 12%

(B) 13%

(D) 16%

View Answer

Ans: C

S.I. on Rs.750 = T.D. on Rs. 960.

This means P.W. of Rs. 960 due 2 years hence is Rs. 750

∴ T.D. = Rs. (960 – 750) = Rs. 210.

Thus, S.I. on Rs. 750 for 2 years is Rs. 210

∴ Rate = $$({100 × 210} / {750 × 2})$$ = 14%.

Question: 9

A person bought an article for Rs.2500 and sold it the same day for Rs.3410, allowing him a credit of 2 years. If the rate of interest is 12% p.a., then the gain of man is

(A) 0%

(B) 2%

(D) 13%

View Answer

Ans: C

C.P. = Rs. 2500; S.P. = $$[{3410 × 100} / {100 + (12 × 2)}]$$ = Rs. 2750

∴ Gain = $${2750 – 2500} / {2500}$$ × 100% = 10%.

Question: 10

A has to pay Rs.220 to B after 1 year. B asks A to pay Rs.110 in cash and defer the payment of Rs.110 for 2 years. A agrees to it. If the rate of interest be 10% per annum, in this mode of payment

(A) There is no gain or loss to any one

(B) A loses Rs. 7.34

(D) A gains Rs. 11

View Answer

Ans: C

A has to pay = P.W. of Rs. 220 due to 1 year hence
= Rs. $$[{220 × 100} / {100 + (10 × 1)}]$$ = Rs. 200.

A actually pays = Rs. 110 + P.W. of Rs. 110 due to 2 years hence
= $$[110 + {110 × 100} / {100 + (10 × 2)}]$$ = Rs. 192.66.

∴ A gains = Rs. (200 – 192.66) = Rs. 7.34.

100+ True Discount Aptitude Questions and Answers Pdf - 2

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