Question

the price of 2 chairs and 5 tables is Rs 680. If the price of a table is Rs 80 more than of chair, find the price of either of them.​

Answer 1

SOLUTION

GIVEN

• The price of 2 chairs and 5 tables is Rs 680.

• The price of a table is Rs 80 more than of chair

TO DETERMINE

The price of either of them.

EVALUATION

Let the price of one chair = Rs x and one table = Rs y

Now it is given that price of 2 chairs and 5 tables is Rs 680

∴ 2x + 5y = 680 - - - - - - - (1)

Again price of a table is Rs 80 more than of chair

∴ y = x + 80 - - - - - - - - (2)

From Equation 1 and 2 we get

$\sf{2x + 5(x + 80) = 680}$

$\sf{ \implies \: 2x + 5x + 400 = 680}$

$\sf{ \implies \: 7x = 280}$

$\sf{ \implies \: x = 40}$

$\sf{ \implies \: y= 40 + 80 = 120}$

Hence the price of one chair = Rs 40 and one table = Rs 120

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