Question

Cost of a chair and 2 tables is ₹1200 ,cost of three chair and table is ₹1100. find the cost of a chair and a table.

Answer 1

Answer:

cost of a chair = 20 Rs

cost of a table = 590 Rs

Step-by-step explanation:

Let cost of a chair be Rs x

cost of a table be Rs y

Now,

According to the question,

x + 2y = 1200 -----------(1)

3x + y = 1100 ------------(2)

Multiply eq (2) with 2

We get,

6x + 2y = 1100 --------(3)

By subtracting equation (3) from (1) we get

5x = 100

x = 20

Now,

Substitute value of x in eq 1

We get,

20 + 2y = 1200

2y = 1200 - 20

2y = 1180

y = 590

Therefore cost of a chair = 20 Rs

And cost of a table = 590 Rs

Hope it helps

Answer 2

Question:-

Cost of a chair and 2 tables is ₹1200 ,cost of three chair and table is ₹1100. find the cost of a chair and a table.

solution:-

let, chair be x and table be y

so,now {by question}

=> x + 2y = 1200 ....... ( 1 )

=> 3x + y = 1100 ...... ( 2 )

To find cost an apple

Multiply eq. ( 1 ) by 3

=> 3x + 6y = 3600 ..... ( 3 )

Now,

Substract eq. ( 3 ) from eq. ( 2 )

3x + y = 1100

- ( 3x + 6y = 3600 )

______________

- 5y = - 2500

5y = 2500

y = 2500/5

y = 500

Now, put value of y in eq. ( 1 )

=> x + 2y = 1200

=> x + 2 ( 500 ) = 1200

=> x + 1000 = 1200

=> x = 1200 - 1000

=> x = 200

Hence cost of one, chair and table

are Rs.200 and Rs. 500 respectively.

i hope it helps you.