1
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%

$TD=\frac{PW×TR}{100}$

$⇒18=\frac{480×T×5}{100}$

=> T = 3/4 years = 9 months

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%

$F=\frac{BD×TD}{BD-TD}=\frac{100×80}{100-80}=Rs.400$

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

$⇒100=\frac{400×T×10}{100}\phantom{\rule{0ex}{0ex}}$

=> T = 2.5 years

2 1659
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

$BD=\frac{FTR}{100}=\frac{8100×\frac{1}{4}×5}{100}=Rs.101.25$

$TD=\frac{FTR}{100+TR}=\frac{8100×\frac{1}{4}×5}{100+\left(\frac{1}{4}×5\right)}=Rs.100$

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

1 1825
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%

0 2325
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:

$F=\frac{BD×TD}{BD-TD}=\frac{200×100}{200-100}=\frac{200×100}{100}=Rs.200$

0 974
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

$TD=\sqrt{PW×BG}$

$⇒1000=\sqrt{PW×200}$

=>PW = Rs.5000

3 1498
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,

$PW{\left(1+\frac{5}{100}\right)}^{2}=1764$

=> PW = 1600

0 994
Q:

The true discount on a bill of Rs. 2160 is Rs. 360. What is the banker's discount?

 A) Rs. 432 B) Rs. 422 C) Rs. 412 D) Rs. 442

Explanation:

F = Rs. 2160

TD = Rs. 360

PW = F - TD = 2160 - 360 = Rs. 1800

True Discount is the Simple Interest on the present value for unexpired time

=>Simple Interest on Rs. 1800 for unexpired time = Rs. 360

Banker's Discount is the Simple Interest on the face value of the bill for unexpired time

= Simple Interest on Rs. 2160 for unexpired time

=(360/1800)* 2160

= (1/5) * 2160

=Rs. 432

0 1156
Q:

The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:

 A) Rs. 21 B) Rs. 17 C) Rs. 18 D) Rs. 34

$BG=\frac{{\left(TD\right)}^{2}}{PW}=\frac{\left(340{\right)}^{2}}{3400}=Rs.34$