After a 5% commission is deducted, a TV costs Rs. 9,595 to the buyer. What is its gross (before-commission) price?

Introduction / Context:
The net price after deducting a commission is given. Since commission is 5%, the net equals 95% of the gross. We invert this to find the gross price (100%).

Given Data / Assumptions:

• Net price = Rs. 9,595.
• Commission rate = 5%.
• Net = 95% of Gross.

Concept / Approach:
Let G be the gross price. Then 0.95G = 9,595 → G = 9,595 / 0.95. Use ratio 95/100 = 19/20 to convert division into simple multiplication.

Step-by-Step Solution:

Verification / Alternative check:
Check: 5% of 10,100 is 505; gross − commission = 10,100 − 505 = 9,595, matching the given net price.

Why Other Options Are Wrong:

• Rs. 10,000 or Rs. 10,074.75: Do not yield 9,595 after a 5% deduction.
• None of these: Not needed since Rs. 10,100 fits perfectly.

Common Pitfalls:
Subtracting 5% from 9,595 instead of reversing the percentage, or dividing by 5 instead of 0.95.

Final Answer: