On selling 17 “Lays” at Rs. 720, there is a loss equal to the cost price of 5 “Lays”. The cost price of a “Lays” is:
Question
On selling 17 “Lays” at Rs. 720, there is a loss equal to the cost price of 5 “Lays”. The cost price of a “Lays” is:
Solution
Let's solve the problem step by step:
Step 1: Let's assume the cost price of one "Lays" is x.
Step 2: According to the given information, selling 17 "Lays" at Rs. 720 results in a loss equal to the cost price of 5 "Lays".
Step 3: The selling price of 17 "Lays" is Rs. 720, which means the selling price of one "Lays" is 720/17.
Step 4: The loss on selling 17 "Lays" is equal to the cost price of 5 "Lays". So, the loss is 5x.
Step 5: The selling price of 17 "Lays" is equal to the cost price minus the loss. Therefore, we can write the equation as:
720/17 = x - 5x
Step 6: Simplifying the equation:
720/17 = (1 - 5)x
720/17 = -4x
Step 7: Dividing both sides of the equation by -4:
(720/17) / -4 = x
Step 8: Calculating the value of x:
x = - (720/17) / 4
x = - 180/17
Step 9: Simplifying the value of x:
x ≈ -10.588
Therefore, the cost price of one "Lays" is approximately Rs. -10.588.
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