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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:

Options:
A .  Rs. 3500
B .  Rs. 3750
C .  Rs. 3840
D .  Rs. 3900
Answer: Option D

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



Then, 10x = 4y   or   y =
5
x.
2


The Price Of 10 Chairs Is Equal To That Of 4 Tables. The Pri... 15x + 2y = 4000



The Price Of 10 Chairs Is Equal To That Of 4 Tables. The Pri... 15x + 2 x
5
x = 4000
2


The Price Of 10 Chairs Is Equal To That Of 4 Tables. The Pri... 20x = 4000


The Price Of 10 Chairs Is Equal To That Of 4 Tables. The Pri... x = 200.



So, y =
The Price Of 10 Chairs Is Equal To That Of 4 Tables. The Pri...
5
x 200
The Price Of 10 Chairs Is Equal To That Of 4 Tables. The Pri...
= 500.
2


Hence, the cost of 12 chairs and 3 tables = 12x + 3y


    = Rs. (2400 + 1500)


    = Rs. 3900.



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