The marked price of a television set is ₹35,000. A shopkeeper allows a discount of 22%and gets a profit of 75%. What is the cost price of the television set ?

Correct option is A

Given:
Marked Price (MP) = ₹35,000
Discount = 22%
Profit = 75%
Formula Used:
Selling Price (SP) = $$MP × (1 - \frac{Discount \%}{100})$$​​
Cost Price (CP) = $$\frac{SP}{1 + \frac{Profit \%}{100}}$$​​
Solution:
SP = 35000 × $$(1 - \frac{22}{100})$$​​
SP = 35000 × $$\frac{78}{100}$$​​
SP = 27300
CP = $$\frac{27300}{1 + \frac{75}{100}}$$​​

CP = $$\frac{27300}{1.75}$$​​

CP = 15600
Final Answer
So the correct answer is (a)