```
```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

**Answer:**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

**Answer:**C) Rs. 1360

**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

**Answer:**Rs. 768

**Explanation:**

P.W. = 100 x

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

= 100 x
168
14 x 2

= 600.
```
``` 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%

**Answer:**A) 0%

**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

**Answer:**C) 8months

**Explanation:**

P.W= Amount – (T.D)

Time =

(100 x T.D)
(PW X R)