The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs…
2025
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:
- A.
Rs.3000
- B.
Rs.3500
- C.
Rs.3900
- D.
Rs.4000
Attempted by 54 students.
Show answer & explanation
Correct answer: C
Solution:
Let the cost of one chair be x and the cost of one table be y.
From the statement that the price of 10 chairs equals the price of 4 tables: 10x = 4y
So y = (5/2)x.
Use the given equation for 15 chairs and 2 tables: 15x + 2y = 4000
Substitute y = (5/2)x: 15x + 2*(5/2)x = 15x + 5x = 20x = 4000.
Therefore 20x = 4000, so x = 200.
Then y = (5/2)*200 = 500.
Now compute the total cost of 12 chairs and 3 tables: 12x + 3y = 12*200 + 3*500 = 2400 + 1500 = 3900.
Answer: Rs.3900.