Question

The price of a table and two chairs is ₹1650. The table costs ₹450 more than the

chair. Find the price of each.​

Answer 1

GivEn:

• The price of a table and two chairs is ₹1650.
• The table costs ₹450 more than the chair.

To find:

• The cost of each product.

Solution:

• Let price of chair be x, Two chairs = 2x.

• Cost of table = x + 450

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« Now, Finding the price of each,

→ x + 450 + 2x = 1650

→ 3x + 450 = 1650

→ 3x = 1650 - 450

→ 3x = 1200

→ x = 1200/3

→ x = 400

∴ Hence, Cost of one chair is 400 rupees.

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« Now, Let's verify this,

→ x + 450 + 2x = 1650

→ 400 + 450 + 2(400) = 1650

→ 850 + 800 = 1650

→ 1650 = 1650

Hence Verified!

∴ Therefore, Cost of table is 850 rupees & cost of chair is 400 rupees.

Answer 2

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$\large \frak \red{Question}$

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The price of a table and a chaiy is ₹1650. The table costs ₹450 more than the chair. Find the price of each.

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$\large \frak \red{Solution}$

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Let the price of the chair be x.

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So,

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→ 2 chairs = 2x

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→ Cost of the table = x + 450

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★ Finding the price of the chair :—

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$\sf \rightarrow{x + 450 + 2x = 1650 } \\ \\ \sf \rightarrow{3x + 450 = 1650 \: \: \: \: \: \: \: \: } \\ \\ \sf \rightarrow{3x = 1650 - 450 \: \: \: \: \: \: \: \: } \\ \\ \sf \rightarrow{3x = 1200 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \\ \sf \rightarrow{x = \cancel\frac{1200}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \\ \sf \rightarrow{x = 400 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

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Therefore, the cost of the chair is ₹400

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★ Verification :—

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$\sf \rightarrow{x + 450 + 2x = 1650 \: \: \: \: \: \: \: \: \: \: \: \: } \\ \\ \sf \rightarrow {400 + 450 + 2(400) = 1650} \\ \\ \sf \rightarrow{850 + 800 = 1650 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \\ \sf \rightarrow{1650 = 1650 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

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Therefore, the cost of the table is ₹850 and the cost of the chair is ₹400.

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