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TANCET 2013 Quant Qn 4: Percentages

Question

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

  1. 6000
  2. 7500
  3. 15,000
  4. 24,000
  5. 32,000

  Correct Answer    Choice 4. The member collected 24,000


Explanatory Answer - step by step

Step 1: Jot down information known about the number of tickets with the member

Let the total tickets with the member be x.
The member has sold 75% of the tickets given to him.

Step 2: Equate the number of tickets unsold to the percentage of tickets unsold to find total number of tickets

25% of the tickets are unsold.
Number of unsold tickets = 80.
25% of x = 80

Step 3: Solve for x

25/100x = 80 x = 80
i.e., x = 80*100/25 = 80*4/1 = 320

Step 4: Compute the number of tickets sold and the value of tickets sold

Number of tickets sold by the member = Total tickets - tickets unsold = 320 - 80 = 240.
Money collected = 240 * 100 = 24,000

  The correct answer is Choice 4. 24,000

Video Explanation

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