Question

Thomas bought 2 tables and 8 chairs for Rs.21000. At the same rate, Mohan bought 3 tables and 10
chairs for Rs.28500. Calculate the cost of one table. Calculate the cost of one chair.​

Answer 1

Answer:

Thomas bought 2 tables and 8 chairs for rs. 21000 at the Same rate, mohan bought 3 tables and 10 chairs for rs. 28500 calculate the cost of 1 table. calculate the cost of 1 chair?. 1. See answer.

Step-by-step explanation:

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Answer 2

Answer:

Let the cost of a table be Rs.x and that of a chair be Rs.y.Then

2x+3y=2000 ........(1)

3x+2y=2500 ........(2)

Multiplying equation (1) by 3 and (2) by 1, we get

6x+9y=6000 .........(3)

6x+4y=5000 .........(4)

Subtracting (4) from (3) we get

6x+4y−6x−9y=5000−6000

⇒−5y=−1000

⇒y= −1000/−5 =200

∴y=200

Put y=200 in (3) we get

2x+3×200=2000

⇒2x=2000−600=1400

⇒x= 1400/2 =700

So,Cost of a table=Rs.700 and cost of a chair =Rs.200

Hence cost of 1 table and 5 chairs=1×700+5×200=700+1000=Rs.1700