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?
Question
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?
Solution
Let's solve the problem step by step:
Step 1: Let's assume the cost price of each ball is 'x'.
Step 2: According to the given information, selling 17 balls at Rs.720/- results in a loss equal to the cost price of 5 balls.
Step 3: The selling price of 17 balls is Rs.720/-. So, the selling price of each ball is 720/17.
Step 4: The loss is equal to the cost price of 5 balls. So, the loss is 5x.
Step 5: The selling price of 17 balls is equal to the cost price of 17 balls minus the loss. So, we can write the equation as:
720/17 = 17x - 5x
Step 6: Simplifying the equation:
720/17 = 12x
Step 7: Solving for 'x':
x = (720/17) / 12
Step 8: Evaluating the value of 'x':
x ≈ 3.529
Therefore, the cost price of each ball is approximately Rs. 3.529.
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