What is the present worth of ₹2,400 due in 4 years at a rate of 5% simple interest per annum?

The correct answer is ₹2,000.

Step-by-Step Explanation:

1. Understand the given terms:
- Amount due (A): ₹2,400
- Time period (T): 4 years
- Rate of interest (R): 5% per annum
- Present Worth (P.W.): The principle sum that, together with simple interest over 4 years at 5% per annum, will amount to ₹2,400.

2. Formula:
The relation between Amount (A), Present Worth (P.W.), Rate (R), and Time (T) under simple interest is given by:
$A=\mathrm{P.W.}+\frac{\mathrm{P.W.}\times R\times T}{100}$
Simplifying the right side:
$A=\mathrm{P.W.}\times \left(1+\frac{R\times T}{100}\right)$
Therefore, the Present Worth formula is:
$\mathrm{P.W.}=\frac{100\times A}{100+(R\times T)}$

3. Calculation:
Substitute the given values into the formula:
$\mathrm{P.W.}=\frac{100\times 2400}{100+(5\times 4)}$
$\mathrm{P.W.}=\frac{240000}{100+20}$
$\mathrm{P.W.}=\frac{240000}{120}$
$\mathrm{P.W.}=2000$

Thus, the present worth of ₹2,400 due in 4 years at 5% simple interest per annum is ₹2,000.