Question

A school sold drama tickets for Rs. 100 each for donating to an orphanage. One member sold 75% of his tickets and had 80 tickets left. How many tickets did the member collect?

• A. 7,500
• B. 10,000
• C. 15,000
• D. 24,000

Hint:

If 25% (which is \( 1/4 \)) equals 80, then 75% (which is \( 3/4 \)) must be \( 80 \times 3 = 240 \). Multiply 240 by 100 to get the collection instantly.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
We need to find out how much the member collected.
Note: The phrasing "How many tickets did the member collect?" is a typographical error. Given the options (which are large numbers with commas, typical for currency), it implies "How much money did the member collect?". We will proceed with this logical assumption.


Step 2: Key Formula or Approach:
First, find the total number of tickets the member initially had.
Then, calculate the number of tickets actually sold.
Finally, multiply the sold tickets by the price per ticket to find the total amount collected.


Step 3: Detailed Explanation:
Let the total number of tickets assigned to the member be \( T \).
The member sold 75% of his tickets. Therefore, the percentage of tickets left unsold is:
\[ 100% - 75% = 25% \] We are given that he had 80 tickets left. So, 25% of \( T \) is equal to 80:
\[ 0.25 \times T = 80 \] \[ T = \frac{80}{0.25} = 80 \times 4 = 320 \text{ tickets} \] This is the total number of tickets. Now, find the number of tickets he actually sold:
\[ \text{Tickets sold} = 75% \text{ of } 320 = 0.75 \times 320 = 240 \text{ tickets} \] Alternatively, \( 320 - 80 = 240 \) tickets.
The price of each ticket is Rs. 100.
The total money collected by selling 240 tickets is:
\[ \text{Amount collected} = 240 \times 100 = 24,000 \]

Step 4: Final Answer:
The member collected an amount of Rs. 24,000.