Question 1170697
Let's break down this problem step by step:

**A. What is the regular selling price of the TV set?**

* Let SP be the selling price.
* Mark-up = 40% of SP = 0.40 * SP
* Mark-up = PHP 3450

So, 0.40 * SP = 3450
SP = 3450 / 0.40
SP = PHP 8625

**B. What was the cost of the TV set?**

* Cost (C) + Mark-up = Selling Price (SP)
* C + 3450 = 8625
* C = 8625 - 3450
* C = PHP 5175

**C. What is the rate of markup based on cost for the TV set?**

* Rate of markup based on cost = (Mark-up / Cost) * 100%
* Rate of markup based on cost = (3450 / 5175) * 100%
* Rate of markup based on cost ≈ 0.66666 * 100%
* Rate of markup based on cost ≈ 66.67%

**D. If overhead expenses are 27% of the cost, what is the break-even price of the TV set?**

* Overhead expenses = 27% of Cost = 0.27 * 5175
* Overhead expenses = PHP 1397.25

* Break-even price = Cost + Overhead expenses
* Break-even price = 5175 + 1397.25
* Break-even price = PHP 6572.25

**E. If the TV set is sold at PHP 7500, how much profit or loss is incurred by the appliance store?**

* Selling price (new) = PHP 7500
* Cost = PHP 5175

* Profit/Loss = Selling price (new) - Cost
* Profit/Loss = 7500 - 5175
* Profit/Loss = PHP 2325

Since the result is positive, it's a profit.

**Summary of Answers:**

A. Regular selling price: PHP 8625
B. Cost of the TV set: PHP 5175
C. Rate of markup based on cost: 66.67%
D. Break-even price: PHP 6572.25
E. Profit: PHP 2325