A house and a garden together cost Rs. 8,40,000. The price of the garden is times the price of the house.The price of the house and the garden is Rs.[[1]] and Rs.[[2]].

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Detailed Solution

Concept: The price of the house and the garden is Rs. 4,90,000 and Rs. 3,50,000.
To begin, set the price of the house at Rs. x and the price of the garden at Rs. y. To determine the relationship between x and y, utilize the statement that the cost of the garden is

times the cost of the house. The alternative relationship is that the total cost, or Rs. 8,40,000, is the sum of Rs. So, use the two relations to determine what x and y are worth.
Let's begin the answer to the previous query by setting the price of the house at Rs. x and the price of the garden at Rs. y.
We can now state that: Given that the cost of the garden is

times the cost of the house:

____(1)
The alternative relationship is that the total cost, or Rs. 8,40,000, is the sum of Rs.4,90,000, Rs. 3,50,000. So, use the two relations to determine what x and y are worth. This can be mathematically expressed as

.
We will now change y in this equation to come from equation 1 as a result, we obtain
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the value of x in equation 1 is changed.
Question Image

Hence, the house costs Rs. 4,90,000, while the garden costs Rs. 3,50,00.

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