Calculate Missing Production Percentage: 49 of 85 Calculators Made

Q: How do I know whether to find completed or remaining percentage?

Read the question carefully! Look for key phrases like 'not yet achieved', 'remaining', or 'left to complete'. These tell you to find what's missing, not what's done.

Q: Why do I need to subtract first instead of just dividing?

Because the question asks for the remaining percentage. You must find how many are left (85 - 49 = 36) before calculating what percentage that represents of the total.

Q: Should I round my final percentage?

Check if the question says 'approximately' - this usually means round to the nearest whole number. $42.35\%$ rounds to 43%.

Q: What if I get confused about which number goes on top of the fraction?

Remember: remaining amount goes on top, total amount goes on bottom. So it's $\frac{36}{85}$, not $\frac{85}{36}$.

Percentage Problems with Remaining Quantities

A calculator factory must produce 85 calculators per day.

So far today, only 49 calculators have been produced.

Approximately what percentage of the necessary daily calculator produciton has not yet been achieved?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Step-by-step solution

To calculate the percentage of the daily calculator production that has not yet been achieved, follow these steps:

Step 1: Determine the number of calculators left to be produced:
Total required: $85$ calculators
Produced so far: $49$ calculators
Remaining = $85 - 49 = 36$ calculators
Step 2: Compute the percentage of unachieved production with respect to the total required:
$\left(\frac{36}{85}\right) \times 100\% = \frac{3600}{85} \approx 42.35\%$
Step 3: Round to the nearest whole number:
Approximately $42.35\%$ rounds to $43\%$ .

Therefore, approximately 43% of the necessary daily calculator production has not yet been achieved.

Thus, the correct answer is choice $43\%$ .

Final Answer

43%

Key Points to Remember

Essential concepts to master this topic

Rule: Find remaining amount first, then calculate percentage
Technique: Subtract produced from total: 85 - 49 = 36 remaining
Check: Verify 36/85 × 100% ≈ 42.35% rounds to 43% ✓

Common Mistakes

Avoid these frequent errors

Finding percentage of completed work instead of remaining work
Don't calculate 49/85 × 100% = 58% thinking this is the answer! The question asks for the percentage NOT YET achieved, not what was completed. Always read carefully and find remaining amount first: 85 - 49 = 36, then calculate 36/85 × 100%.

Practice Quiz

Test your knowledge with interactive questions

Approximately what is $\frac{6}{25}$ as a percentage?

FAQ

Everything you need to know about this question

How do I know whether to find completed or remaining percentage?

Read the question carefully! Look for key phrases like 'not yet achieved', 'remaining', or 'left to complete'. These tell you to find what's missing, not what's done.

Why do I need to subtract first instead of just dividing?

Because the question asks for the remaining percentage. You must find how many are left (85 - 49 = 36) before calculating what percentage that represents of the total.

Should I round my final percentage?

Check if the question says 'approximately' - this usually means round to the nearest whole number. $42.35\%$ rounds to 43%.

What if I get confused about which number goes on top of the fraction?

Remember: remaining amount goes on top, total amount goes on bottom. So it's $\frac{36}{85}$ , not $\frac{85}{36}$ .

How can I check if my percentage makes sense?

Think logically: if 49 out of 85 are done, that's more than half. So the remaining should be less than half, meaning less than 50%. Our answer of 43% fits this!

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