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Raju buys 3 goats and 2 sheeps for Rs.11600. When he sells the goats at 20% profit and the sheep at 10% loss, he earns a total profit of Rs.1000. The cost of one sheep is _____.

Question

Raju buys 3 goats and 2 sheeps for Rs.11600. When he sells the goats at 20% profit and the sheep at 10% loss, he earns a total profit of Rs.1000. The cost of one sheep is _____.

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Solution

Let's solve this step by step:

Step 1: Let's assume the cost price of a goat is 'g' and the cost price of a sheep is 's'.

Step 2: According to the problem, Raju buys 3 goats and 2 sheep for Rs.11600. So, we can write this as: 3g + 2s = 11600. This is our first equation.

Step 3: Raju sells the goats at 20% profit. So, the selling price of a goat is 120% of the cost price, which is 1.2g.

Step 4: He sells the sheep at 10% loss. So, the selling price of a sheep is 90% of the cost price, which is 0.9s.

Step 5: The total selling price of all the animals is the selling price of 3 goats and 2 sheep, which is 31.2g + 20.9s.

Step 6: According to the problem, he earns a total profit of Rs.1000. So, the total selling price is the total cost price plus the profit, which is 11600 + 1000 = 12600.

Step 7: Now, we can set up our second equation: 31.2g + 20.9s = 12600.

Step 8: Now we have a system of two equations, and we can solve it to find the values of 'g' and 's'.

Step 9: Solving these equations will give us the cost price of one goat and one sheep.

This problem has been solved

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