The price of a room air conditioner and a automatic washing machine are in the ratio of 3:2 what would be the price of the washing machine if it costs rs 6000 less than the air conditioner.?

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The price of a room air conditioner and a automatic washing machine ar...

Let the cost of ac be 3x and washing machine be 2x.
According to question, 3x-2x=6000
x=6000
Therefore, cost of washing machine =2× 6000=12000

Answered by Glance Learning Institute · View profile

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The price of a room air conditioner and a automatic washing machine ar...

Given Information:
- The price of a room air conditioner and an automatic washing machine are in the ratio of 3:2.
- The washing machine costs Rs 6000 less than the air conditioner.

To find:
- The price of the washing machine.

Step-by-step solution:

Step 1: Understanding the Ratio
- Let's assume the price of the air conditioner is 3x.
- Since the ratio of the prices is 3:2, the price of the washing machine would be 2x.

Step 2: Expressing the Relationship
- According to the given information, the washing machine costs Rs 6000 less than the air conditioner.
- This can be expressed as: 3x - 2x = 6000.

Step 3: Solving the Equation
- Simplifying the equation: x = 6000.
- Therefore, the price of the air conditioner is 3x = 3 * 6000 = Rs 18000.
- The price of the washing machine is 2x = 2 * 6000 = Rs 12000.

Step 4: Conclusion
- The price of the washing machine is Rs 12000.

Explanation:
- The given question involves finding the price of a washing machine based on the ratio of prices between the air conditioner and the washing machine.
- By assuming the price of the air conditioner as 3x and the price of the washing machine as 2x, we can establish a relationship between the two prices.
- The given information states that the washing machine costs Rs 6000 less than the air conditioner. This can be expressed as 3x - 2x = 6000.
- Solving the equation, we find that x = 6000.
- Substituting the value of x back into the expressions for the air conditioner and washing machine prices, we get the respective prices as Rs 18000 and Rs 12000.
- Therefore, the price of the washing machine is Rs 12000, which is Rs 6000 less than the air conditioner.

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