1
Q:

# The certain worth of a certain sum due sometime hence is Rs. 1600 and the true discount isRs. 160. The banker's gain is:

 A) 15 B) 16 C) 14 D) 13

Explanation:

B.G. =(T.D.)^2/P.W.

= Rs. (160*160)/1600 = Rs. 16.

Q:

Two consecutive discounts x% and y% is equivalent to the discount

 A) (x-y+xy100)% B) (x+y+xy100)% C) (x-y-xy100)% D) (x+y-xy100)%

Explanation:

1 4182
Q:

The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?

 A) Sum = Rs.400 and Time = 5 years B) Sum = Rs.200 and Time = 2.5 years C) Sum = Rs.400 and Time = 2.5 years D) Sum = Rs.200 and Time = 5 years

Answer & Explanation Answer: C) Sum = Rs.400 and Time = 2.5 years

Explanation:

BD = Rs.100

TD = Rs.80

R = 10%

$F=BD×TDBD-TD=100×80100-80=Rs.400$

BD = Simple interest on the face value of the bill for unexpired time= FTR/100

$⇒100=400×T×10100$

=> T = 2.5 years

4 5825
Q:

If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?

 A) 8 months B) 11 months C) 10 months D) 9 months

Explanation:

F = Rs. 498

TD = Rs. 18

PW = F - TD = 498 - 18 = Rs. 480

R = 5%

$TD=PW×TR100$

$⇒18=480×T×5100$

=> T = 3/4 years = 9 months

3 5172
Q:

What is the difference between the banker's discount and the true discount on Rs.8100 for 3 months at 5%

 A) Rs. 2 B) Rs. 1.25 C) Rs. 2.25 D) Rs. 0.5

Explanation:

F = Rs. 8100

R = 5%

T = 3 months = 1/4 years

$BD=FTR100=8100×14×5100=Rs.101.25$

$TD=FTR100+TR=8100×14×5100+14×5=Rs.100$

Therefore BD - TD = 101.25-100 = Rs.1.25

1 5194
Q:

The banker's discount on a bill due 6 months hence at 6% is Rs. 18.54. What is the true discount?

 A) Rs. 24 B) Rs. 12 C) Rs. 36 D) Rs. 18

Explanation:
T= 6 months = 1/2 yearR = 6%

2 13800
Q:

The B.D. and T.D. on a certain sum is Rs.200 and Rs.100 respectively. Find out the sum.

 A) Rs. 400 B) Rs. 300 C) Rs. 100 D) Rs. 200

Explanation:

$F=BD×TDBD-TD=200×100200-100=200×100100=Rs.200$

1 3069
Q:

The B.G. on a certain sum 4 years hence at 5% is Rs. 200. What is the present worth?

 A) Rs. 4500 B) Rs. 6000 C) Rs. 5000 D) Rs. 4000

Explanation:

T = 4 years

R = 5%

Banker's Gain, BG = Rs.200

$TD=PW×BG$

$⇒1000=PW×200$

=>PW = Rs.5000

3 3939
Q:

What is the present worth of a bill of Rs.1764 due 2 years hence at 5% compound interest is

 A) Rs. 1600 B) Rs. 1200 C) Rs. 1800 D) Rs. 1400

Explanation:

Since the compound interest is taken here,

$PW1+51002=1764$

=> PW = 1600