Question

BD=70,SD=700,r=5% p.a then n=?

Answer 1

Given:

BD = 70

SD = 700

r = 5% p.a

To find:

The value of n

Solution:

The banker's discount, BD = Rs. 70

The sum due, SD = Rs. 700

The rate of interest, R = 5% p.a.

We know the formula as:

$\boxed{\bold{BD = SD \times \frac{n}{12} \times \frac{R}{100} }}$

Now, substituting the given values in the above formula, we get

$70 = 700 \times \frac{n}{12} \times \frac{5}{100}$

$\implies 1 = 10 \times \frac{n}{12} \times \frac{1}{20}$

$\implies 1 = \frac{n}{12} \times \frac{1}{2}$

$\implies \bold{n = 24\:months}$ ≈ 2 years

Thus, the value of n is → 2 years.

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