Final answer:
The total cost price of the hens is ₹588.
Step-by-step explanation:
To find the total cost price of the hens, we need to calculate the cost price of each hen and multiply it by the number of hens.
Given that Prabhu purchased 500 hens and 75 died, the number of hens he sold is 500 - 75 = 425 hens.
Since he made a 2% profit by selling the hens, the selling price is 102% of the cost price. So, 102% of the cost price is equal to ₹120.
To find the cost price of each hen, we divide ₹120 by 102 to get ₹1.176.
Therefore, the total cost price of the hens is ₹1.176 multiplied by 500, which equals ₹588.