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Eighty-five percent of the cost of a TV is ₹9265. What is its total cost?

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To solve the problem of determining the total cost of the TV when 85% of the cost is ₹ 9265, follow these steps:

1. Understand the given information:
- 85% of the cost of the TV is ₹ 9265.

2. Set up the relationship mathematically:
- Let the total cost of the TV be represented by [tex]\( x \)[/tex].

3. Convert the percentage to a decimal:
- 85% can be written as 0.85 in decimal form.

4. Set up an equation using the percentage and the partial cost:
- We know that 85% of the total cost [tex]\( x \)[/tex] is equal to ₹ 9265. Therefore, you can express this as:
[tex]\[ 0.85x = 9265 \][/tex]

5. Solve for [tex]\( x \)[/tex]:
- To find the total cost [tex]\( x \)[/tex], divide both sides of the equation by 0.85:
[tex]\[ x = \frac{9265}{0.85} \][/tex]

6. Perform the division:
- When we divide ₹ 9265 by 0.85, we get:
[tex]\[ x = 10900 \][/tex]

7. State the conclusion:
- Therefore, the total cost of the TV is ₹ 10900.
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