In a price problem, the last step is to divide the net to be received by the decimal found in step 2. If the net to be received is $75,600 and the decimal from step 2 is 0.84, what is the final price?

In a price problem, the last step is to divide the net to be received by the decimal found in step 2. If the net to be received is $75,600 and the decimal from step 2 is 0.84, what is the final price?

• A. $90,000
• B. $75,600
• C. $84,000
• D. $95,000

Answer: (A)

When the net to be received is a portion of the final price, the decimal represents that portion. So the final price times 0.84 equals the net amount. To find the final price, divide the net by the decimal: final price = 75,600 ÷ 0.84. A clean way to compute is to use fractions: 0.84 = 21/25, so dividing by 0.84 is multiplying by 25/21. 75,600 ÷ 21 = 3,600, and 3,600 × 25 = 90,000. Check quickly: 0.84 × 90,000 = 75,600, which matches the net. Therefore, the final price is $90,000.

When the net to be received is a portion of the final price, the decimal represents that portion. So the final price times 0.84 equals the net amount. To find the final price, divide the net by the decimal: final price = 75,600 ÷ 0.84.

A clean way to compute is to use fractions: 0.84 = 21/25, so dividing by 0.84 is multiplying by 25/21. 75,600 ÷ 21 = 3,600, and 3,600 × 25 = 90,000.

Check quickly: 0.84 × 90,000 = 75,600, which matches the net. Therefore, the final price is $90,000.