Question

A banker pays Rs. 564 for a bill of Rs. 600 due 6 month hence. What is the rate percent per annum
bank has deducted from the bill?​

Answer 1

Step-by-step explanation:

2Q:

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

Answer: D) Rs. 18

Explanation:

T= 6 months = 1/2 year

R = 6%

TD= BD×100100+TR=18.54×100100+(12×6)=Rs.18

Answer 2

The rate of percent per annum is 12%.

Given,

Banker's Discount = Rs.564

True Discount = Rs. 600

Time = 6 months

To Find,

Rate of percent per annum.

Solution,

Let the rate of percent be x.

We will use the formula of Banker's discount,

$T.D. =\frac{B.D.*100}{100+(R*T)}$

So, here

T.D. = Rs.600

B.D = Rs.564

Time (T) = 6 months or $\frac{1}{2} years$.

Rate (R) = ?

Let's solve using this formula.

$600=\frac{564*100}{100+(x*\frac{1}{2}) }$

600 (100 + 1/2x)= 564 ×100

x = $\frac{36}{3}$

x = 12%

The rate of percent per annum is 12%.

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