Find x, if x% of 250+25% of 68=67.

Answer

To solve the equation \( x\% \) of 250 + 25% of 68 = 67, we can follow these steps:

### Step 1: Convert percentages to fractions
We can express \( x\% \) as \( \frac{x}{100} \) and 25% as \( \frac{25}{100} \).

### Step 2: Write the equation
The equation can be written as:
\[ \frac{x}{100} \times 250 + \frac{25}{100} \times 68 = 67 \]

### Step 3: Simplify the equation
Calculating \( \frac{25}{100} \times 68 \):
\[ \frac{25 \times 68}{100} = \frac{1700}{100} = 17 \]
So the equation now becomes:
\[ \frac{x}{100} \times 250 + 17 = 67 \]

### Step 4: Isolate the term with \( x \)
Subtract 17 from both sides:
\[ \frac{x}{100} \times 250 = 67 - 17 \]
\[ \frac{x}{100} \times 250 = 50 \]

### Step 5: Multiply both sides by 100 to eliminate the fraction
\[ 250x = 50 \times 100 \]
\[ 250x = 5000 \]

### Step 6: Solve for \( x \)
Divide both sides by 250:
\[ x = \frac{5000}{250} \]
\[ x = 20 \]

### Final Answer
Thus, the value of \( x \) is \( 20 \).

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