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What approximate value should come in pl...

What approximate value should come in place of question mark(?) in the following questions?
`59.98%of599.85xx0.801+92=?`

A

144

B

272

C

380

D

108

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 59.98\% \text{ of } 599.85 \times 0.801 + 92 = ? \), we will use approximate values for simplification. ### Step-by-Step Solution: 1. **Convert Percentage to Decimal:** \[ 59.98\% \approx 60\% \] This means we can treat \( 59.98\% \) as \( 0.60 \). **Hint:** When dealing with percentages, rounding to the nearest whole number can simplify calculations. 2. **Calculate the Approximate Value of 599.85:** \[ 599.85 \approx 600 \] This simplifies our multiplication. **Hint:** Rounding numbers to the nearest hundred or ten can make calculations easier. 3. **Approximate the Value of 0.801:** \[ 0.801 \approx 0.8 \] This will help in simplifying the multiplication further. **Hint:** When dealing with decimals, rounding to one decimal place can often suffice for approximation. 4. **Calculate \( 60\% \text{ of } 600 \):** \[ 60\% \text{ of } 600 = 0.60 \times 600 = 360 \] **Hint:** To find a percentage of a number, multiply the decimal form of the percentage by the number. 5. **Multiply by the Approximate Value of 0.801:** \[ 360 \times 0.8 = 288 \] **Hint:** When multiplying by decimals, consider breaking it down (e.g., \( 360 \times 0.8 = 360 \times \frac{8}{10} \)). 6. **Add 92 to the Result:** \[ 288 + 92 = 380 \] **Hint:** Always ensure to add the final constant after all multiplications are done. 7. **Final Result:** The approximate value that should come in place of the question mark is: \[ ? \approx 380 \] ### Conclusion: Thus, the answer is \( 380 \).
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