Latest CAT Aptitude Question SOLUTION: total cost of 3 tables and 2 chairs is Rs 1300 and that of table is 2 tables and 3 chairs is Rs 1200.find the cost of one chair?

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total cost of 3 tables and 2 chairs is Rs 1300 and that of table is 2 tables and 3 chairs is Rs 1200.find the cost of one chair?

Asked In CAT MohanRaj (11 years ago)

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Raju Mandal  (11 years ago)

Ans - 200
solution - Let one table cost is = x
one chair cost is = y
then,
+3x+2y=+1300-------(1)
+2x+3y=+1200-------(2)
- - -
--------------------
x-y=100
so,x=100+y
value puts in the equ. first
3(100+y)+2y=1300
or,300+3y+2y=1300
or,5y=1300-300
y = 1000/5
so one chair cost = 200

Is this solution Helpfull? Yes (2) | No   

Madhu pericherla  (11 years ago)

Let x = cost of 1 table
Let y = cost of 1 chair
3x+2y=1300
2x+3y=1200
so x=300 and y=200
so cost of 1 chair=200

Is this solution Helpfull? Yes (1) | No   

Abhijit Maity  (11 years ago)

3t+2c=1300
2t+3c=1200
-----------add
5t+5c=2500

1t+1c=500
3t+3c=1500
3t+2c=1300
--------------sub
0t+1c=200(ans)

Is this solution Helpfull? Yes (1) | No   

rahul singh  (11 years ago)

3x+2y=1300
2x+3y=1200
solve it

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Anjali Chhotaraya  (11 years ago)

Let x=cost of one table
y=cost of one chair
From question we get
3x+2y=1300
2x+3y=1200
By solving these two equations we get, y=200
Hence,the cost of one chair is 200.

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seema chauhan  (11 years ago)

ans=200rupee
as 3t+2c=1300
2t+3c=1200 ,solve these eq and get chair prise=200

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T Lokesh  (11 years ago)

answer: cost of chair=200, table=300
given 3t+2c=1300
2t+3c=1500
add these two equations we get t+c=500
solve

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