Question

There are 500 seats in Minerva Cinema, Mumbai, placed in similar rows. After the reconstruction of the hall, the total number of seats became 10% less. The number of rows was reduced by 5 but each row contained 5 seats more than before. How many rows and how many seats in a row were there initially in the hall?

• A. 20 rows and 25 seats
• B. 20 rows and 20 seats
• C. 10 rows and 50 seats
• D. 50 rows and 10 seats

Answer 1

The correct option is A 20 rows and 25 seats

Let,
Number of rows initially = r, Number of seats per row initially = s
Given, r.s = 500 ------- 1)
Also, (r - 5)(s +5) = 500 - 50 = 450 -------2)

Solving 1) & 2), we get r = 20 & s = 25