A person brought 50 sheep. He pays lorry charges of rs 40 and spend rs 1.20 per sheep for upkeep. By selling 60% of them at rs 201 each and the remaining at rs 171 each, he realized a profit of 20%. Find the purchased cost per sheep.
To find the purchase cost per sheep, we first need to figure out the total cost and the total revenue. Then we can calculate the purchase cost per sheep based on the given profit percentage.
Let's calculate the revenue from selling the sheep first:
He sold 60% of 50 sheep at Rs 201 each: 60% of50 is 0.6 * 50 = 30 sheep. Revenue from these30 sheep = 30 * Rs 201 = Rs 6030.
He sold remaining 40% at Rs 171 each: 40% of 50 is 0.4 * 50 20 sheep. Revenue from these 20 sheep = 20 * Rs 171 = Rs 3420.
Total from selling all sheep = Rs 6030 + Rs 3420 = Rs 0.
Now let's calculate the total cost:
Lorry charges = Rs 40.
The upkeep for each sheep is Rs 1.20 for 50 sheep the total upkeep cost would be: Total upkeep cost = 50 Rs 1.20 = Rs 60.
This means the total cost (TC) also includes the cost of purchasing the sheep ( we'll call the purchase cost, PC): TC = PC + Rs40 (Lorry charges) + Rs 60 (Upkeep).
Given that he realized profit of 20%, we can say that the total revenueTR) is 120% of the total cost: TR = * 120%, 9450 = TC * 1.2, TC = Rs 945 / 1.2, TC = Rs 7875.
This is the total cost including the purchase cost, lorry charges, and upkeep. Now we need to find just the purchase cost: PC = TC - (Lorry charges + Upkeep), PC = Rs 787 - (Rs 40 + Rs 60), PC = Rs 7875 - 100, PC = Rs 7775.
Now we have the purchase cost for 50 sheep, so to find the purchase cost per: Purchase Cost per sheep = PC / Number of sheep, Cost per sheep = Rs 7775 / 50, Purchase Cost per sheep = Rs 155.50.
Therefore, the purchase cost sheep is Rs155.50.
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