Selling price = Gross Price + Value-added tax. Therefore, Selling Price - Gross Price is Value-added Tax. Since the VAT in Philippines is 12%, we can compute the gross price from the selling price. PHP 5,040,000 / (1 + 0.12) is PHP 4,500,000. But the question is asking for the value-added tax based on the gross price. So, we subtract the gross price from the selling price, which is PHP 5,040,000 - PHP 4,500,000, or PHP 540,000. To verify, is PHP 540,000,  12% of the gross price? Yes.

Selling price = Gross Price x (VAT Multiplier). Since the VAT in the Philippines is 12%, the VAT multiplier is 1.12. Therefore, to know the selling price before VAT, or the gross price, it is the Selling Price divided by VAT multiplier. PHP 5,040,000 / 1.12 is equal to PHP 4,500,000.

5% commission of the broker and 10% withholding tax are computed from the gross price which is before VAT, and not from selling price after VAT. Therefore, we need to compute first for the gross price. Following the formula, Gross price = Selling price / VAT multiplier, the gross price is PHP 5,040,000 divided by 1.12, which is PHP 4,500,000. Since the question is asking for the take-home commission of the broker, we will compute for the 5% commission and the 10% withholding tax. Because of the withholding tax, the broker will receive only 90% of the total commission. Therefore, take home commission = Gross Price x 5% commission x 0.90, which is PHP 4,500,000 x 0.05 x 0.90, or PHP 202,500.

Because the given is selling price inclusive of VAT, we need to compute the gross price, which is before VAT. Commission for broker, withholding tax, and discount are all computed from the gross price. To compute for the gross price, Selling Price / VAT multiplier = Gross Price, which is PHP 5,040,000 / 1.12, or PHP 4,500,000. Computing for the discount to the buyer, commission of broker, and withholding tax will be as follows: PHP 4,500,000 x 0.90 x 0.05 x 0.90, which is PHP 182,250. Note that for withholding tax of 10%, we computed for 0.90 (instead of 0.10) because we are computing for the take-home commission of the broker, which is the rate of how much the broker will receive.

The selling price before VAT is actually the gross price. The VAT in the Philippines is 12%. Because VAT is computed from the gross price, therefore VAT = gross price x 0.12%. Substituting the given in the problem, PHP 360,000.00 / 0.12 = PHP 3,000,000.00.

Selling price inclusive of VAT is computed as gross price multiplied by VAT multiplier. Since the VAT rate is 12%, we can compute for the gross price as PHP 360,000 / 0.12, which is PHP 3,000,000.00. But the question is asking for the selling price inclusive of VAT, so we need to compute the price after applying VAT. To compute, PHP 3,000,000.00 x 1.12, which is PHP 3,360,000.00

Selling price is gross price multiplied by gross profit multiplier. Since the given is 30% gross profit rate, we know that the seller sold the property 30% on top of the full-value of the property. Therefore, the gross profit multiplier is 1.00 + 0.30. To compute for the gross price before the profit margin, PHP 2,340,000.00 / 1.30 = PHP 1,800,000.00

Because the question is asking for initial selling price, it is equivalent to gross price before VAT, commission, and discounts. Note that VAT, commission rate, and discounts are all computed from the gross price. Given that the owner wants a net proceed, the gross price is computed from what is left from all deductions, which is 1.00 - (0.05 + 0.06 + 0.10), or 0.79. Because Selling Price = Gross Price x Total Rate of Deductions, selling price divided by the deduction rates is equal to the gross price, which is PHP 3,950,000 / 0.79, or PHP 5,000,000.