Cost of four chairs is equal to cost of two tables. Cost of four tables is equal to cost of two boards and cost of four boards is equal to cost of two fans. If a fan costs ₹850, then the cost of a chair is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Rs.106.25.
Let the cost of one chair be C, the cost of one table be T, the cost of one board be B, the cost of one fan be F
Given,
The cost of four chairs = The cost of two tables = 4C = 2T
The cost of four tables = The cost of two boards = 4T = 2B
The cost of four boards = The cost of two fans = 4B = 2F
The cost of one fan = Rs.850 = F
Now,
⇒ 4B = 2F [Put F = Rs.850]
⇒ 4B = 2 × 850
⇒ B = Rs.425
Now,
⇒ 4T = 2B [Put B = Rs.425]
⇒ 4T = 2 × 425
⇒ T = Rs.212.50
Now,
⇒ 4C = 2T [Put T = Rs.212.50]
⇒ 4C = 2 × 212.50
⇒ C = Rs.106.25
Hence, the cost of a chair = Rs.106.25