Rajesh buys a table for Rs. 900 and sells it to a customer after giving two successive discounts of 10 percent and 20 percent on the marked price (assumed equal to Rs. 900). What is the final selling price of the table?

Introduction / Context:
This question involves successive discounts on a single marked price. It helps strengthen understanding that each discount applies to the current price, not the original cost price directly, and that the net discount is not the simple sum of the individual percentages.

Given Data / Assumptions:

• Cost price to Rajesh = Rs. 900.
• Marked price is assumed to be Rs. 900 for this question.
• First discount = 10 percent.
• Second discount = 20 percent.
• We must find the final selling price to the customer.

Concept / Approach:
The selling price after successive discounts is obtained by multiplying the marked price by (1 - first discount) and then by (1 - second discount). We can perform this step by step to avoid confusion and errors.

Step-by-Step Solution:
Marked price MP = Rs. 900.After first discount of 10 percent, price = 900 * (1 - 0.10) = 900 * 0.90 = 810.After second discount of 20 percent, new price = 810 * (1 - 0.20) = 810 * 0.80 = 648.Thus final selling price = Rs. 648.

Verification / Alternative check:
We can also combine the discount factors: overall factor = 0.90 * 0.80 = 0.72. So selling price = 0.72 * 900 = 648, which matches the stepwise calculation.

Why Other Options Are Wrong:
Values like 568, 728 or 668 correspond to erroneous calculations such as subtracting 30 percent directly from 900 or misapplying the second discount on the original price instead of the discounted price. They do not equal 900 * 0.72.

Common Pitfalls:
Many candidates simply add the discounts (10 percent and 20 percent) and calculate a single 30 percent discount. This gives 900 * 0.70 = 630, which is not any of the options and is incorrect. Always remember that successive discounts multiply, not add.

Final Answer:
The final selling price of the table is Rs. 648.