A movie was screened for 3 days ‐Monday, Tuesday and Wednesday. The respective ratio between the number of spectators on Monday, Tuesday and Wednesday were 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 were 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
Calculation:
Let the number of spectators on Monday, Tuesday, and Wednesday be 2x, 3x, and 5x respectively
Let the price charged on Monday, Tuesday, and Wednesday be 2y, 3y, and 4y respectively.
⇒ According to the question
⇒ (5X × 4Y) - (3X × 3Y) = 8800
⇒ XY = 800
⇒ Now, the total amount earned on all three days
⇒ (2X × 2Y) + (3X × 3Y) + (5X × 4Y)
⇒ XY × (4 + 9 + 20) = 33XY = 33 × 800 = 26400
∴ The required result will be 26400.