A shopkeeper marks a table at 40% above the cost price and gives a discount of 25%. If he still makes a profit of Rs. 450, what is the cost price (in Rs. ) of the table?

Correct option is D

Given:
Marked price is 40% above the cost price.
Discount given = 25%.
Profit earned = Rs. 450.
Formula Used:
Selling price after the discount = Marked price × (1 - Discount %)
Solution:
Let the cost price be C and the selling price be S.
Marked price M = Cost price + 40% of the cost price = $$C + \left( \frac{40}{100} \right) \times C = 1.4C$$​​
Selling price after the discount = Marked price × (1 - Discount %) = M × (1 - 0.25) = 1.4C × 0.75 = 1.05C
Profit = Selling price - Cost price
Profit = S - C
Given profit = Rs. 450:
1.05C - C = 450
0.05C = 450
 C = $$\frac {450}{0.05}$$​ = 9000
Thus, the cost price of the table is Rs. 9000. 
Alternate Method: