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On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

Difficulty: Medium

Correct Answer: Rs. 60

Explanation:

Given Data

  • Selling 17 balls yields total SP = Rs. 720
  • Loss equals the cost price of 5 balls
  • Required: cost price (CP) per ball

Step 1: Express SP and loss in terms of CP
Let CP per ball = Rs. cTotal CP for 17 balls = 17cGiven loss = 5c ⇒ SP = CP − loss = 17c − 5c = 12c


Step 2: Equate to the actual SP
12c = 720 ⇒ c = 720 ÷ 12 = Rs. 60


Checks & Common Pitfalls

  • Loss is given as a multiple of CP, not as a percent; model it directly.
  • Do not confuse loss of 5 balls with 5% loss; it is 5 times CP per ball in value.

Final Answer
Cost price per ball = Rs. 60.

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