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 $45,000 and the decimal from step 2 is 0.75, 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 $45,000 and the decimal from step 2 is 0.75, what is the final price?

• A. $60,000
• B. $45,000
• C. $75,000
• D. $50,000

Answer: (A)

The key idea is that the net amount is a portion of the final price. If the net equals 75% of the final price, you reverse that by dividing by 0.75 to get the full price. Compute: 45,000 ÷ 0.75. Since 0.75 is the same as 3/4, dividing by 0.75 is like multiplying by 4/3. So 45,000 × (4/3) = 60,000. You can check it: 60,000 × 0.75 = 45,000, which matches the net amount. Other final price options wouldn’t produce 45,000 when multiplied by 0.75 (for example, 60,000 gives 45,000, while 45,000 would give 33,750, etc.).

The key idea is that the net amount is a portion of the final price. If the net equals 75% of the final price, you reverse that by dividing by 0.75 to get the full price.

Compute: 45,000 ÷ 0.75. Since 0.75 is the same as 3/4, dividing by 0.75 is like multiplying by 4/3. So 45,000 × (4/3) = 60,000.

You can check it: 60,000 × 0.75 = 45,000, which matches the net amount.

Other final price options wouldn’t produce 45,000 when multiplied by 0.75 (for example, 60,000 gives 45,000, while 45,000 would give 33,750, etc.).