A house and a garden together cost Rs- 8-40-000- The price of the garden is 57 times the price of the house- Find the price of the house and the garden-

Let the price of the house be x .Thus, price of the garden is 57x Given that cost of garden and house together cost Rs. 8,40,000 .Therefore, ...

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Standard VIII

Mathematics

Solving Equations with Variables on Both Sides

A house and a...

Question

A house and a garden together cost $R s . 8, 40, 000$ . The price of the garden is $\frac{5}{7}$ times the price of the house. Find the price of the house and the garden.

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Solution

Let the price of the house be $x$ .
Thus, price of the garden is $\frac{5}{7} x$
Given that cost of garden and house together cost Rs. $8, 40, 000$ .
Therefore, $x + \frac{5}{7} x = 840000$
$\Rightarrow 7 x + 5 x = 7 \times 840000$
$\Rightarrow 12 x = 7 \times 840000$
$\Rightarrow x = 490000$
Thus, price of house is Rs. $4, 90, 000$ .
Therefore, price of garden is $\frac{5}{7} \times 4, 90, 000 = 3, 50, 000$ .

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A house and a garden together cost Rs. 8,40,000. The price of the garden is 57 times the price of the house. Find the price of the house and the garden.

Let the price of the house be x.Thus, price of the garden is 57xGiven that cost of garden and house together cost Rs. 8,40,000.Therefore, x+57x=840000⇒7x+5x=7×840000⇒12x=7×840000⇒x=490000Thus, price of house is Rs. 4,90,000.Therefore, price of garden is 57×4,90,000=3,50,000.

A house and a garden together cost $R s . 8, 40, 000$ . The price of the garden is $\frac{5}{7}$ times the price of the house. Find the price of the house and the garden.