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: radio_button_unchecked 45 radio_button_unchecked 50 radio_button_unchecked 55 radio_button_unchecked 60
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:
radio_button_unchecked 45
radio_button_unchecked 50
radio_button_unchecked 55
radio_button_unchecked 60
Solution
Let's solve this step by step:
Step 1: According to the problem, the loss is equal to the cost price of 5 balls. This means that the cost price of 17 balls is equal to the selling price of 17 balls plus the cost price of 5 balls.
Step 2: We know that the selling price of 17 balls is Rs. 720. Let's assume the cost price of one ball is Rs. x. Therefore, the cost price of 17 balls is 17x and the cost price of 5 balls is 5x.
Step 3: Now, we can set up the equation: 17x = 720 + 5x.
Step 4: Simplify the equation to find the value of x. This gives us 12x = 720.
Step 5: Solve for x by dividing both sides of the equation by 12. This gives us x = 720 / 12 = 60.
Therefore, the cost price of a ball is Rs. 60.
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