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?
- Rs. 3500
- Rs. 3750
- Rs. 3900
- Rs. 3840
Explanation
The price of 10 chairs = The price of 4 tables
Concept:
Linear equation of two variable = A equation is said to be linear equation in two variable if it is written in the form of ax + by + c = 0 Where, x and y are variables and a, b, and c are the integers
Calculation:
Let us assume the cost price of a chair be X and cost price of a table be Y
⇒ According to the question
⇒ 10X = 4Y ----(1)
⇒ 15X + 2Y = 4000 ----(2)
⇒ By equation (1) and (2)
⇒ 15X + 5X = 4000
⇒ X = 200 and Y = 500
⇒ The price of 12 chairs and 3 tables = (12 × 200) + (500 × 3) = 2400 + 1500 = 3900
∴ The required result will be 3900.
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