# 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

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%

A)6months

B) 5months

C) 8months

D) 3months