Finding the Unknown Number
This problem requires us to find a specific number based on a given condition involving percentages and addition.
Let the unknown number be represented by the variable x.
Setting Up the Equation
The question states that when 38 is added to 30% of a number, the result is 50. We can translate this into a mathematical equation:
$ 38 + (30\% \times x) = 50 $
To work with the percentage, we convert it to a decimal:
$ 30\% = \frac{30}{100} = 0.30 $
So the equation becomes:
$ 38 + 0.30x = 50 $
Solving the Equation Step-by-Step
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Isolate the term containing the variable x. Subtract 38 from both sides of the equation:
$ 0.30x = 50 - 38 $
$ 0.30x = 12 $
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Solve for x. Divide both sides by 0.30:
$ x = \frac{12}{0.30} $
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Calculate the final value:
$ x = 40 $
Conclusion
The number is 40. We can check this: 30% of 40 is $0.30 \times 40 = 12$. Adding 38 to this gives $38 + 12 = 50$, which matches the condition given in the question.
Similar Questions
- Find the value of x satisfying: $2(3x^2 - 7) - 3(2x^2 + 7x - 9) = 13$
- If $(1 + 2 + \text{x}) - (0.12 - 0.42 + 0.94) = 4$, then what will be the value of x?
- Find the value of x satisfying: $5(5x^2 - 6) - 5(5x^2 + 2x - 4) = 20$
- The sum of half, one-third and one-fifth of a number exceeds the number by $12$. What is the number?
- Sonal was given some money to take care of her travel expenses during a 16-day sales drive. However, she had to increase her stay by another 8 days, and as a result her average daily travel allowance went down by ₹80. How much was sanctioned to her in the beginning?
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$6(8x + 25) - 70 = 5(8x + 25)$ - If $11 = \frac{11x}{1 - x}$, then the value of $(2x)^2$ is:
- Find the number whose four-fifth is more than its three-fourth by 4.
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Important Questions from Linear Equation in 1 Variable
The sum of three fractions A, B, and C, A > B > C, is \(\frac{121}{60}\) . When C is divided by B, the resulting fraction is \(\frac{9}{10}\) , which exceeds A by \(\frac{3}{20}\) . What is the difference between B and C?
7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?
If the measure of one angle of a right triangle is 30° more than the measure of the smallest angle, then the measure of the smallest angle is:
A man has equal number of five, ten and twenty rupee notes amounting to Rs. 385. Find the total number of notes?
The sum of three consecutive number is 126. Find the highest number?
