In a sale, the original price of a washing machine is reduced by 15%. After the reduction, the washing machine costs Rs19 550. Calculate the original price of the washing machine 

Let the original price of the washing machine be denoted by \( x \).

According to the problem, the price of the washing machine was reduced by 15%, and the resulting price is Rs19,550.

So, the price after the reduction is 85% of the original price:

\[
0.85 \times x = 19550
\]

To find \( x \), divide both sides by 0.85:

\[
x = \frac{19550}{0.85}
\]

Now, let's calculate:

\[
x = 23000
\]

So, the original price of the washing machine was Rs23,000.

Would you like more details or have any other questions?

Here are 5 related questions to explore further:
1. What would be the new price if the discount was 20% instead of 15%?
2. How would the original price change if the final price after a 10% reduction was Rs 17,000?
3. If the washing machine had been sold at a 10% profit on its original price, what would the selling price be?
4. How much money was saved by purchasing the washing machine during the sale?
5. If the washing machine was further discounted by 5% after the 15%, what would the final price be?

**Tip:** To quickly find the original price after a percentage reduction, divide the reduced price by \(1 - \text{reduction percentage}\).

In a sale, the original price of a washing machine is reduced by 15%. After the reduction, the washing machine costs Rs19 550. Calculate the original price of the washing machine.

Learn how to calculate the original price of a washing machine after a 15% discount, where the reduced price is Rs19,550. This problem covers percentage reduction and algebraic equations, suitable for students in Grades 6-8.

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