The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
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Verified answer
Let the price of one chair be x, and price of one table be yFrom the question:
10x = 4y ........................................(1)
15x + 2y = 4000 ............................(2)
now, if we divide ....(1) by 2
5x=2y ... substitute value of 2y in ....(2)
15x+5x=4000
20x=4000
x=200
in.... (1) substitute x=200
2000=4y
y= 500
Now we the required form,
12x + 3y = (12×200)+(3×500)
=2400+1500
=3900 Rs
Verified answer
Let the price of a chair = Rs x
and the price of a table = Rs y
According to question :
The price of 10 chairs is equal to that of 4 tables
10 x = 4 y
5x = 2y
And
The price of 15 chairs and 2 tables together is Rs. 4000
15x + 2y = 4000
putting value of 2y = 5x
15x + 5x = 4000
20x = 4000
x = Rs.200
y = 5/2 (200) = Rs.500
Thus , price of a chair is Rs.200 and that of a table is Rs.500 .
Hence price of 12 chairs and 3 tables is
= Rs.12(200) + Rs.3(500)
= Rs.2400 + Rs.1500
= Rs.3900
Therefore, the total price of 12 chairs and 3 tables is Rs.3900