Multiple choice

Big Cinemas offers a discount of 64% for payment through Paytm on movie tickets. How much percent the cost price of movie tickets must be marked to make a profit of 8%?

  1. 105

  2. 110

  3. 300

  4. 200

  5. 240

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. To get 8% profit, SP = 108. Discount is 64%, so SP = 0.36 * MP. 0.36 * MP = 108, so MP = 300. MP is 300% of CP, or marked up by 200%. The question asks for the marked price as a percentage of cost price, which is 300.

AI explanation

Let the cost price be Rs. 100 and the marked price be Rs. M. To achieve a profit of 8 percent, the selling price must be Rs. 108. Since a discount of 64 percent is given, the selling price is 36 percent of the marked price, so 0.36M equals 108. Solving for M gives M equals 108 divided by 0.36, which equals Rs. 300. This means the good must be marked 300 percent above the cost price. The result is 300.