Problem Analysis: The question requires finding the value of 'x' based on a percentage relationship: 33% of the number 497 is equal to 71% of 'x'. We need to set up an equation and solve for 'x'.
Solving the Percentage Equation
The problem states that 33% of 497 is equal to 71% of x. This can be written as an algebraic equation:
\( \frac{33}{100} \times 497 = \frac{71}{100} \times x \)
Step-by-Step Calculation for x
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Simplify the equation: Multiply both sides by 100 to eliminate the denominators:
\( 33 \times 497 = 71 \times x \)
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Isolate x: Divide both sides by 71 to solve for 'x':
\( x = \frac{33 \times 497}{71} \)
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Perform the calculation: First, calculate the product of 33 and 497:
\( 33 \times 497 = 16301 \)
Now, substitute this back into the equation for x:
\( x = \frac{16301}{71} \)
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Final Calculation: Divide 16301 by 71:
\( x = 231 \)
Therefore, the value of x is 231.
Similar Questions
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- 4% of a number is approximately what percentage of 18% of the same number?
- 15% of 60 is 45% of _______
Important Questions from Percentage
A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?
Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?
What is 12% of 4% of 7% of 2 × 10 6 ?
Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?
If X is 12.25% more than Y. then Y is approximately_____ less than X.
