# 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?

- 6000
- 7500
- 15,000
- 24,000
- 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

x = 80

i.e., x = = 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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## XAT TANCET Practice Questions - Listed Topic wise

- Number Theory
- Permutation Combination
- Probability
- Inequalities
- Geometry
- Coordinate Geometry
- Mensuration
- Trigonometry
- Data Sufficiency
- Percentages
- Profit Loss
- Ratio Proportion
- Mixtures & Alligation
- Speed Distance & Time
- Pipes, Cisterns & Work, Time
- Simple & Compound Interest
- Races
- Averages & Statistics
- Progressions : AP, GP & HP
- Set Theory
- Clocks Calendars
- Linear & Quadratic Equations
- Functions
- English Grammar
- General Awareness