# Aptitude True Discount Question and Answer

1. 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:
A) Rs. 20
B) Rs. 21.81
C) Rs. 22
D) Rs. 18.33

Explanation:
S.I. on Rs. (110 - 10) for a certain time = Rs. 10.
S.I. on Rs. 100 for double the time = Rs. 20.
T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.

T.D. on Rs. 110 = Rs.
20 / 120
x 100 = Rs. 18.33

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: ?
A) Rs. 1800
B) Rs. 1450
C) Rs. 1360
D) Rs. 6800

Explanation:

S.I. x
T.D. / (S.I.)
- (T.D.) = 85 x
80 / (85 - 80)
= Rs. 1360.

3) If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:
A)Rs. 768
B)Rs. 968
C)Rs. 1960
D)Rs. 2400

Explanation:

P.W. = 100 x
T.D. / R x T
= 100 x
168 / 14 x 2
= 600.
Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.

4) Rahul 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 Rahul has a gain of:
A) 0%
B) 5%
C) 7.5%
D) 10%

Explanation:

C.P =Rs.3000 S.P =
(3600 X 100) / 100
+(10 X 2)= Rs. 3000 Gain =0%

5)The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period?
A)6months
B) 5months
C) 8months
D) 3months