In a theater, there are three types of seating arrangements viz. I, II

1.	In a theater, there are three types of seating arrangements viz. I, II and III. The number customers seating in I, II and III is in the ratio of 2 : 3 : 5. The ratio of ticket fare of a seat in arrangement I, II and III is 7 : 5 : 4. Total fare collected is Rs.24500 when theater is houseful. The ticket fare collected from arrangement I is approximately what percent of total fare collected from all arrangements?1. 29%2. 34%3. 20%4. 22%5. 27%
Answer» Correct Answer - Option 1 : 29% Given: Let number of customers in arrangements I, II and III be 2a, 3a and 5a respectively. Let the ticket fare of a seat of arrangement I, II and III be Rs.7b, Rs.5b and Rs.4b respectively. Calculation: ⇒ 2a × 7b + 3a × 5b + 5a × 4b = 24500 ⇒ ab = 500 The ticket fare collected from arrangement I = 2a × 7b = 14ab = 14 × 500 = Rs.7000 ∴ Required percentage = 7000/24500 × 100 = 28.57 ≈ 29%.

In a theater, there are three types of seating arrangements viz. I, II and III. The number customers seating in I, II and III is in the ratio of 2 : 3 : 5. The ratio of ticket fare of a seat in arrangement I, II and III is 7 : 5 : 4. Total fare collected is Rs.24500 when theater is houseful. The ticket fare collected from arrangement I is approximately what percent of total fare collected from all arrangements?1. 29%2. 34%3. 20%4. 22%5. 27%

Answer» Correct Answer - Option 1 : 29%

Given:

Let number of customers in arrangements I, II and III be 2a, 3a and 5a respectively.

Let the ticket fare of a seat of arrangement I, II and III be Rs.7b, Rs.5b and Rs.4b respectively.

Calculation:

⇒ 2a × 7b + 3a × 5b + 5a × 4b = 24500

⇒ ab = 500

The ticket fare collected from arrangement I = 2a × 7b = 14ab = 14 × 500 = Rs.7000

∴ Required percentage = 7000/24500 × 100 = 28.57 ≈ 29%.

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