A movie was screened for 3 days ‐Monday, Tuesday and Wednesday. The respective ratio between the number of spectators on Monday, Tuesday and Wednesday was 2 : 3 : 5 and the price charged for three days was in the respective ratio 2 : 3 : 4. If the difference between the amount earned on Tuesday and Wednesday was Rs. 8800, what was the total amount earned in all three days?
A movie was screened for 3 days ‐Monday, Tuesday and Wednesday. The respective ratio between the number of spectators on Monday, Tuesday and Wednesday was 2 : 3 : 5 and the price charged for three days was in the respective ratio 2 : 3 : 4. If the difference between the amount earned on Tuesday and Wednesday was Rs. 8800, what was the total amount earned in all three days? Correct Answer Rs. 26,400
Given:
Number of spectators on Monday Tuesday and Wednesday = 2 : 3 : 5
Price of ticket on Monday Tuesday and Wednesday = 2 : 3 : 4
Formula Used:
Revenue earned = number of spectators × rate charged for the tickets
Calculation:
Revenue earned on Monday = 2 × 2 = 4 units
Revenue earned on Tuesday = 3 × 3 = 9 units
Revenue earned on Wednesday = 5 × 4 = 20 units
According to question,
Revenue earned on Wednesday - revenue earned on Monday = Rs. 8800
∴ 20 units - 9 units = 11 units
⇒ 11 = Rs. 8800
⇒ 1 = Rs.800
∴ Total revenue collected on all these three days = (20 + 9 + 4) = 33 units
⇒ 33 × 1100 = Rs. 26400