After 12% of a bill has been deducted, 6536 Rs remains to be paid. How much was the original bill?

To find the original bill amount before the 12% deduction, we can set up the problem using basic algebra. Let \( x \) be the original bill amount. Given that 12% of the bill has been deducted, 88% of the original bill amount remains.

The remaining amount is given as 6536 Rs. Therefore, we can write the equation:

\[ 0.88x = 6536 \]

To solve for \( x \), divide both sides of the equation by 0.88:

\[ x = \frac{6536}{0.88} \]

Now, perform the division:

\[ x = 7427.27 \]

Therefore, the original bill amount was approximately 7427.27 Rs.

Would you like any further details or have any questions about this solution?

Here are some related questions you might find useful:
1. How do you convert a percentage to a decimal for calculations?
2. What is the formula to calculate the final amount after a percentage deduction?
3. How can you check if your calculation of the original amount is correct?
4. How would the calculation change if the deduction percentage was different?
5. How do you solve for the original amount if a different amount remains after the deduction?
6. What is the significance of understanding percentage calculations in real-life scenarios?
7. How can you apply this method to calculate the original price before discounts in shopping?
8. What are some other real-world applications of percentage-based calculations?

**Tip:** Always double-check your calculations by verifying the final answer makes sense in the context of the problem.

Learn how to calculate the original bill amount after a 12% deduction with a detailed step-by-step solution. This problem covers key mathematical concepts including percentages and algebraic equations. Suitable for students in Grades 6-8.

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