If 25% of 400+35% of 1260+27% of 1800=1020+x,then the value of x lies between?

We are given the equation:

\[
25\% \text{ of } 400 + 35\% \text{ of } 1260 + 27\% \text{ of } 1800 = 1020 + x
\]

### Step 1: Calculate each percentage

1. \( 25\% \text{ of } 400 = \frac{25}{100} \times 400 = 100 \)
2. \( 35\% \text{ of } 1260 = \frac{35}{100} \times 1260 = 441 \)
3. \( 27\% \text{ of } 1800 = \frac{27}{100} \times 1800 = 486 \)

### Step 2: Add these values together
\[
100 + 441 + 486 = 1027
\]

### Step 3: Set up the equation
\[
1027 = 1020 + x
\]

### Step 4: Solve for \( x \)
\[
x = 1027 - 1020 = 7
\]

Thus, the value of \( x \) is **7**. Therefore, \( x \) lies between 6 and 8.

Would you like more details, or do you have any questions?

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Here are 5 related questions:
1. What is 40% of 500?
2. How would the value of \( x \) change if the percentages were increased by 5% each?
3. Can you solve for \( x \) if \( 25\% \text{ of } 500 + 35\% \text{ of } 1300 + 27\% \text{ of } 1900 = 1120 + x \)?
4. How do you find percentages of any given number?
5. What is the formula to calculate percentage change?

**Tip:** To solve percentage problems, always convert the percentage to a fraction or decimal before performing operations.

If 25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + x, then the value of x lies between?

Learn how to solve the percentage equation involving 25% of 400, 35% of 1260, and 27% of 1800 to find the value of x. This problem covers key concepts such as percentage calculations and basic arithmetic, suitable for students in Grades 6-8.

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