The cost of running a movie theatre is Rs. 10,000 per day, plus additional Rs. 5000 per show. The theatre has 200 seats. A new movie released on Friday. There were three shows, where the ticket price was Rs. 250 each for the first two shows and Rs. 200 for the late-night show.
For all shows together, total occupancy was 80%. What was the maximum amount of profit possible?
For all shows together, total occupancy was 80%. What was the maximum amount of profit possible?
- Rs. 1,20,000
- Rs. 87,000
- Rs. 95,000
- Rs. 91,000
- Rs. 1,16,000
The Correct Option is D
Approach Solution - 1
Total seats per day \(=200\times 3=600\).
Overall occupancy \(=80\%\), so total tickets sold
\[0.8\times 600=480.\]
Ticket prices:
First two shows: Rs. 250 each (maximum \((2\times200=400) seats\)
Late-night show: Rs. 200 (maximum (200) seats)
To maximize revenue, sell as many tickets as possible at the higher price.
Thus, fill both Rs. 250 shows completely:
\[400 \text{ tickets at Rs. }250,\]
and the remaining
\[480-400=80 \text{ tickets at Rs. }200.\]
Revenue
\[400\times250 + 80\times200 = 100000 + 16000 = 116000.\]
Cost
\[\text{Daily fixed cost} = 10000, \quad \text{Show cost} = 3\times5000=15000.\]
\[\text{Total cost} = 25000.\]
Profit
\[116000 - 25000 = 91000.\]
\[\boxed{\text{Maximum profit} = \text{Rs. }91{,}000}\]
Hence, the correct answer is option (4).
Approach Solution -2
Given information:
- Fixed daily cost: Rs. 10,000
- Cost per show: Rs. 5,000
- Seats: 200
- Shows: 3 (two at Rs. 250, one at Rs. 200)
- Overall occupancy: 80%
Calculate total costs: $$\text{Total cost} = 10,000 + 3 \times 5,000 = 10,000 + 15,000 = \text{Rs. } 25,000$$
Calculate total seats occupied: $$\text{Total seats available} = 200 \times 3 = 600$$ $$\text{Total seats occupied} = 0.80 \times 600 = 480$$
Maximize revenue: To maximize profit, fill the higher-priced shows first.
- Show 1 (Rs. 250): 200 seats (fully occupied)
- Show 2 (Rs. 250): 200 seats (fully occupied)
- Show 3 (Rs. 200): 80 seats (remaining occupied seats)
Calculate revenue: $$\text{Revenue} = 200 \times 250 + 200 \times 250 + 80 \times 200$$ $$= 50,000 + 50,000 + 16,000 = \text{Rs. } 1,16,000$$
Calculate profit: $$\text{Profit} = \text{Revenue} - \text{Cost} = 1,16,000 - 25,000 = \text{Rs. } 91,000$$
Answer: (4) Rs. 91,000
Top Questions on Profit and Loss
- The swimming pool in an exclusive club is a circular strip. A water flow is artificially maintained in the strip, along a clockwise direction, at a constant speed of 3km/h (kilometers/hour). One morning, Ayub and Rana start swimming at the same time from two diametrically opposite points on the strip. Ayub swims in a counterclockwise direction, while Rana swims in a clockwise direction. They swim at constant, but different, speeds. When they meet again after Rana has covered 60m (meters), they meet again after Rana has covered 180m from the first meeting point.
If Rana swims at the speed of 3 km/h in still water, how long does Ayub take to complete one round of the circular strip, if he swims in the clockwise direction?
- A bought an article at a certain price and sold it at 10% profit. B bought the same article at a price 10% lesser than A and sold it at ₹18 lesser than A. B's gain percentage in this deal is 20%. At what price B bought the article?
- CUET (PG) - 2025
- General
- Profit and Loss
- A vegetable vendor by means of his false balance defrauds to the extent of \(10%\) in buying goods and also defrauds to \(10%\) in selling, then the gain percent is
- A merchant earns \(25%\) profit in general. Once his \(25%\) consignment was abducted forever by some thieves. Trying to compensate for his loss he sold the rest of his consignment by increasing his selling price by \(20%\). What is the new percentage profit or loss?
- A shopkeeper bought an item for ₹7825 and marked it at 30% higher than the cost price. If he sells the item by allowing 20% discount, then his profit percentage will be:
- CUET (PG) - 2025
- General
- Profit and Loss
Questions Asked in XAT exam
- An artificial swimming pool is circular and water is flowing clockwise at a speed of 3 km/hr. Two swimmers Ayub and Rana start from diametrically opposite points, Ayub in the anticlockwise direction and Rana in the clockwise direction. They first meet at a point such that Ayub has covered 60 m by that time. Their second meeting point is such that Rana has covered another 180 m after the first meeting point. If the speed of Rana in still water is 3 km/hr, find the time taken by Ayub to cover one full circle in the clockwise direction.
- XAT - 2026
- Time and Work
- Arrange the following generations from the oldest to the youngest:
1. Generation X
2. Silent Generation
3. Generation Alpha
4. Baby Boomers
5. Millennials
- XAT - 2026
- Current Affairs
- Read the following scenario and answer the THREE questions that follow.
Brijbhushan, a microfinancier, lends money at the rate of Rs.10 per square meter to small farmers at a village. He charges an annual interest rate of 10%. All the farming plots in that village are rectangular, with areas varying between a minimum of 1000 square meters and a maximum of 10,000 square meters.
This year, Brijbhushan has lent money only to five farmers: Aditya, Binod, Chhuttan, Dabloo and Govind. The perimeter of Chhuttan’s plot is 250 meters, with the length and width being at a ratio of 4:1. Aditya’s plot has an area three times the area of Govind’s plot. The area of Aditya’s plot is also the average of the areas of Govind’s plot and Dabloo’s plot. The plots belonging to Aditya, Binod and Dabloo are of the same width, but of different lengths. Moreover, the length of Binod’s plot is the sum of the lengths of Aditya’s plot and Dabloo’s plot.- XAT - 2026
- Mensuration
Light Chemicals is an industrial paint supplier with presence in three locations: Mumbai, Hyderabad and Bengaluru. The sunburst chart below shows the distribution of the number of employees of different departments of Light Chemicals. There are four departments: Finance, IT, HR and Sales. The employees are deployed in four ranks: junior, mid, senior and executive. The chart shows four levels: location, department, rank and gender (M: male, F: female). At every level, the number of employees at a location/department/rank/gender are proportional to the corresponding area of the region represented in the chart.
Due to some issues with the software, the data on junior female employees have gone missing. Notice that there are junior female employees in Mumbai HR, Sales and IT departments, Hyderabad HR department, and Bengaluru IT and Finance departments. The corresponding missing numbers are marked u, v, w, x, y and z in the diagram, respectively.
It is also known that:
a) Light Chemicals has a total of 210 junior employees.
b) Light Chemicals has a total of 146 employees in the IT department.
c) Light Chemicals has a total of 777 employees in the Hyderabad office.
d) In the Mumbai office, the number of female employees is 55.
- XAT - 2026
- Pie Charts
An investment company, Win Lose, recruit's employees to trade in the share market. For newcomers, they have a one-year probation period. During this period, the employees are given Rs. 1 lakh per month to invest the way they see fit. They are evaluated at the end of every month, using the following criteria:
1. If the total loss in any span of three consecutive months exceeds Rs. 20,000, their services are terminated at the end of that 3-month period,
2. If the total loss in any span of six consecutive months exceeds Rs. 10,000, their services are terminated at the end of that 6-month period.
Further, at the end of the 12-month probation period, if there are losses on their overall investment, their services are terminated.
Ratan, Shri, Tamal and Upanshu started working for Win Lose in January. Ratan was terminated after 4 months, Shri was terminated after 7 months, Tamal was terminated after 10 months, while Upanshu was not terminated even after 12 months. The table below, partially, lists their monthly profits (in Rs. ‘000’) over the 12-month period, where x, y and z are masked information.
Note:
• A negative profit value indicates a loss.
• The value in any cell is an integer.
Illustration: As Upanshu is continuing after March, that means his total profit during January-March (2z +2z +0) ≥
Rs.20,000. Similarly, as he is continuing after June, his total profit during January − June ≥
Rs.10,000, as well as his total profit during April-June ≥ Rs.10,000.
- XAT - 2026
- Logical and Analytical Reasoning Skills