The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 tables is 7000 rupees, then find the total price of 2 price of 2chairs and 2 tables
Answers
Answer:
answer is 4000
Step-by-step explanation:
Step-by-step explanation:
Given :-
The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 tables is 7000 rupees
To find :-
Find the total price of 2 price of 2chairs and 2 tables ?
Solution :-
Let the price of the chair be X years
Let the price of the table be Y years
Given that
The price of 3 chairs and 2 tables
= Rs. 4500
=> 3X+2Y = 4500 ------------(1)
The price of 5 chairs and 3 tables
= Rs. 7000
=> 5X+3Y = 7000 ------------(2)
On multiplying equation (1) with 3 then
=> 9X+6Y = 13500 -----------(3)
On multiplying equation (2) with 2 then
=> 10X+6Y = 14000 ----------(4)
On substituting (3) from (4) then
10X + 6Y = 14000
9X + 6Y = 13500
(-) (-) (-)
________________
X + 0 = 500
________________
=> X = Rs. 500
The price of one chair = Rs. 500
On Substituting the value of X in (1) then
=> 3(500)+2Y = 4500
=> 1500 + 2Y = 4500
=> 2Y = 4500-1500
=> 2Y = 3000
=> Y = 3000/2
=> Y = Rs. 1500
The price of one table = Rs. 1500
The Price of 2 chairs
= 2 × Rs. 500
= Rs. 1000
The price of 2 tables
= 2×Rs. 1500
= Rs. 3000
Total cost price of 2 chairs and 2 tables
=> 1000+3000
=> Rs. 4000
Answer:-
The total price of 2 chairs and 2 tables
= Rs. 4000
Check :-
The price of one chair = Rs. 500
The price of one table = Rs. 1500
The price of 3 chairs and 2 tables
=> 3×500+2×1500
=> 1500+3000
=> 4500
and
The price of 5 chairs and 3 tables
=> 5×500 + 3×1500
=> 2500+4500
=> 7000
Verified the given relations in the given problem.