Sonal was given some money to take care of her travel expenses during a 16-day sales drive. However, she had to increase her stay by another 8 days, and as a result her average daily travel allowance went down by ₹80. How much was sanctioned to her in the beginning?

Correct option is B

Given:

Sonal's initial travel allowance was meant for a 16-day sales drive.

After increasing her stay by another 8 days (making it 24 days), her average daily travel allowance decreased by ₹80.

We are to find the initial amount sanctioned to Sonal.

Solution:
Let the total amount of money initially sanctioned to Sonal be A.

The initial daily allowance is $$\frac{A}{16}.$$​​

After increasing the stay to 24 days, the new daily allowance becomes $$\frac{A}{24}.$$​​

The decrease in daily allowance is ₹80, so:

​$$\frac{A}{16} - \frac{A}{24} = 80$$​

​$$\frac{3A}{48} - \frac{2A}{48} = 80$$​

​$$\frac{A}{48} = 80$$​

A = $$80 \times 48 = 3840$$​
The initial amount sanctioned to Sonal was ₹3840.