Aptitude - True Discount
1.
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is :
Answer
P.W. = Rs. (2562 - 122) = Rs. 2440.
S.I. on Rs. 2440 for 4 months is Rs. 122.
∴ Rate =
100 x 1222440 x (4/12) 
% = 15%
Answer :
Option CExplanation :
P.W. = Rs. (2562 - 122) = Rs. 2440.
S.I. on Rs. 2440 for 4 months is Rs. 122.
∴ Rate =
100 x 1222440 x (4/12) % = 15% 2.
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 :
Answer
Sum = S.I. x T.D.(S.I.) − (T.D.) = 85 x 8085 − 80 = Rs. 1360
Answer :
Option CExplanation :
Sum = S.I. x T.D.(S.I.) − (T.D.) = 85 x 8085 − 80 = Rs. 1360
3.
The present worth of Rs. 2800 due 2 years hence at 6% p.a. is :
Answer
P.W. = 100 x A100 + (R + T) = Rs. 100 x 2800100 + (6 x 2) = Rs. 100 x 2800112 = Rs. 2500
Answer :
Option BExplanation :
P.W. = 100 x A100 + (R + T) = Rs. 100 x 2800100 + (6 x 2) = Rs. 100 x 2800112 = Rs. 2500
4.
The true discount on a sum due 8 months hence at 6% p.a. is Rs. 130. The sum due is :
Answer
P.W. = 100 x 1306 x (8 ÷ 12) = Rs. 3250
Sum due = P.W. + T.D. = Rs. (3250 + 130) = Rs. 3380
Answer :
Option CExplanation :
P.W. =
100 x 1306 x (8 ÷ 12) = Rs. 3250Sum due = P.W. + T.D. = Rs. (3250 + 130) = Rs. 3380
5.
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is :
Answer
S.I. on Rs. (110 − 10) for a fixed time = Rs. 10
S.I. on Rs. 100 double the time = Rs. 20
T.D. on Rs. 120 = Rs. 20
T.D. on Rs. 110 = Rs. 20 x 110120 = Rs. 18.33
Answer :
Option DExplanation :
S.I. on Rs. (110 − 10) for a fixed time = Rs. 10
S.I. on Rs. 100 double the time = Rs. 20
T.D. on Rs. 120 = Rs. 20
T.D. on Rs. 110 = Rs. 20 x 110120 = Rs. 18.33
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