Step 1: Let's assume the cost price of the first pigeon (which was sold at a loss) is x. Therefore, the cost price of the second pigeon (which was sold at a profit) will be 182 - x (since the total cost of both pigeons is ₹182).

Step 2: The first pigeon was sold at a 5% loss. So, its selling price will be 95% of x, which is 0.95x.

Step 3: The second pigeon was sold at an 8% profit. So, its selling price will be 108% of (182 - x), which is 1.08(182 - x).

Step 4: According to the problem, the total selling price of both pigeons is equal to the total cost price, which is ₹182. So, we can set up the equation 0.95x + 1.08(182 - x) = 182.

Step 5: Solve this equation to find the value of x.

Step 6: Once you have the value of x, subtract it from 182 to get the cost price of the second pigeon (which was sold at a profit).

Question

Step 1: Let's assume the cost price of the first pigeon (which was sold at a loss) is x. Therefore, the cost price of the second pigeon (which was sold at a profit) will be 182 - x (since the total cost of both pigeons is ₹182).

Step 2: The first pigeon was sold at a 5% loss. So, its selling price will be 95% of x, which is 0.95x.

Step 3: The second pigeon was sold at an 8% profit. So, its selling price will be 108% of (182 - x), which is 1.08(182 - x).

Step 4: According to the problem, the total selling price of both pigeons is equal to the total cost price, which is ₹182. So, we can set up the equation 0.95x + 1.08(182 - x) = 182.

Step 5: Solve this equation to find the value of x.

Step 6: Once you have the value of x, subtract it from 182 to get the cost price of the second pigeon (which was sold at a profit).

Knowee AI · Accepted Answer

Step 1: Let's assume the cost price of the first pigeon (which was sold at a loss) is x. Therefore, the cost price of the second pigeon (which was sold at a profit) will be 182 - x (since the total cost of both pigeons is ₹182).

Step 2: The first pigeon was sold at a 5% loss. So, its selling price will be 95% of x, which is 0.95x.

Step 3: The second pigeon was sold at an 8% profit. So, its selling price will be 108% of (182 - x), which is 1.08(182 - x).

Step 4: According to the problem, the total selling price of both pigeons is equal to the total cost price, which is ₹182. So, we can set up the equation 0.95x + 1.08(182 - x) = 182.

Step 5: Solve this equation to find the value of x.

Step 6: Once you have the value of x, subtract it from 182 to get the cost price of the second pigeon (which was sold at a profit).

A girl buys 2 pigeons for ₹182. She sells one at a loss of 5% and another at a profit of 8%. But she neither gains nor loses on the whole. Find the price of a pigeon which has sold at a profit.

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