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
Step 1: First, we need to find out the cost price of 17 balls. According to the problem, the loss is equal to the cost price of 5 balls. So, the cost price of 17 balls is 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. But we don't know the cost price of 5 balls yet. Let's assume the cost price of one ball is Rs.x. So, the cost price of 5 balls is 5x.
Step 3: Now, we can write the equation for the cost price of 17 balls as follows: 720 (selling price of 17 balls) + 5x (cost price of 5 balls) = 17x (cost price of 17 balls).
Step 4: Simplify the equation to find the value of x. Subtract 720 from both sides: 17x - 720 = 5x. Then, subtract 5x from both sides: 17x - 5x = 720. This simplifies to 12x = 720.
Step 5: Finally, divide both sides of the equation by 12 to solve for x: x = 720 / 12 = Rs.60.
So, the cost price of a ball is Rs.60.
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