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The cost of three identical chairs and two identical table is Rs 2140. if a chair costs Rs 120 less than a table, find the price of a chair and that of a table.?
Verified Answer
The cost of three identical chairs and two identical table is Rs 2140....
Let the cost of 1 chair be x & cost of 1 table be y.
ATQ
3x +2y = 2140…(1)
cost of 1 chair(x) =( y -120)
x = y-120
Put the value of x in eq 1
3x +2y = 2140
3(y-120)+ 2y = 2140
3y - 360 +2y = 2140
3y +2y = 2140 +360
5y = 2500
y = 2500/5= 500
Cost of 1 table = rs 500
Cost of 1 chair(x) = y -120 = 500 - 120 = rs 380.
Hence, the Cost of a table is ₹500 and the Cost of a chair is rs 380.
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
The cost of three identical chairs and two identical table is Rs 2140....
Given Information:
- Cost of 3 identical chairs + 2 identical tables = Rs 2140
- A chair costs Rs 120 less than a table
To find:
- Price of a chair
- Price of a table
Let's assume:
- The price of a chair = Rs X
- The price of a table = Rs Y
Formulating the equations:
- According to the given information, we can form the following equations:
- 3X + 2Y = 2140 ...(Equation 1)
- X = Y - 120 ...(Equation 2)
Solving the equations:
- We can solve the above equations by substitution method.
- Substitute the value of X from Equation 2 into Equation 1:
- 3(Y - 120) + 2Y = 2140
- 3Y - 360 + 2Y = 2140
- 5Y - 360 = 2140
- 5Y = 2500
- Y = 500
Finding the price of a table:
- From Equation 2, substitute the value of Y into X:
- X = 500 - 120
- X = 380
Answer:
- The price of a chair is Rs 380.
- The price of a table is Rs 500.
- Cost of 3 identical chairs + 2 identical tables = Rs 2140
- A chair costs Rs 120 less than a table
To find:
- Price of a chair
- Price of a table
Let's assume:
- The price of a chair = Rs X
- The price of a table = Rs Y
Formulating the equations:
- According to the given information, we can form the following equations:
- 3X + 2Y = 2140 ...(Equation 1)
- X = Y - 120 ...(Equation 2)
Solving the equations:
- We can solve the above equations by substitution method.
- Substitute the value of X from Equation 2 into Equation 1:
- 3(Y - 120) + 2Y = 2140
- 3Y - 360 + 2Y = 2140
- 5Y - 360 = 2140
- 5Y = 2500
- Y = 500
Finding the price of a table:
- From Equation 2, substitute the value of Y into X:
- X = 500 - 120
- X = 380
Answer:
- The price of a chair is Rs 380.
- The price of a table is Rs 500.
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The cost of three identical chairs and two identical table is Rs 2140. if a chair costs Rs 120 less than a table, find the price of a chair and that of a table.?
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The cost of three identical chairs and two identical table is Rs 2140. if a chair costs Rs 120 less than a table, find the price of a chair and that of a table.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The cost of three identical chairs and two identical table is Rs 2140. if a chair costs Rs 120 less than a table, find the price of a chair and that of a table.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of three identical chairs and two identical table is Rs 2140. if a chair costs Rs 120 less than a table, find the price of a chair and that of a table.?.
The cost of three identical chairs and two identical table is Rs 2140. if a chair costs Rs 120 less than a table, find the price of a chair and that of a table.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The cost of three identical chairs and two identical table is Rs 2140. if a chair costs Rs 120 less than a table, find the price of a chair and that of a table.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of three identical chairs and two identical table is Rs 2140. if a chair costs Rs 120 less than a table, find the price of a chair and that of a table.?.
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