A book after adding sales tax at 10% is sold for ₹165. What was its price before adding sales tax?
Understand the Problem
The question states that a book is sold for ₹165 after a 10% sales tax is added. We need to find the original price of the book before the sales tax was added.
Answer
₹150
Answer for screen readers
The original price of the book before the sales tax was ₹150.
Steps to Solve
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Identify the final price with tax The final price of the book after tax is given as ₹165.
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Express the relationship with the original price Let the original price of the book be $P$. The sales tax is 10%, which means the final price can be expressed as: $$ P + 0.1P = 1.1P $$
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Set up the equation We can set up the equation based on the final price: $$ 1.1P = 165 $$
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Solve for the original price To find the original price $P$, we can divide both sides of the equation by 1.1: $$ P = \frac{165}{1.1} $$
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Calculate the original price Now, let's do the calculation: $$ P = 150 $$
The original price of the book before the sales tax was ₹150.
More Information
The original price calculation shows how tax increases the final selling price. When a 10% sales tax is applied to ₹150, it results in ₹165 as the total cost, demonstrating the importance of understanding tax implications in pricing.
Tips
- A common mistake is forgetting to divide by 1.1 to find the original price. Remember that when tax is added, you must reverse the process by using the final amount to find the original price.
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