High School

Shyam sold the headphones and suffered a loss of 11%. But his friend sold similar headohones at Rs. 500 more than Shyam and made a 5% profit. Whot is the cost price of the headphones?

a. 3125

b. 4750

c. 4000

d. 2250​

Answer :

Final answer:

The cost price of the headphones is Rs. 4750.

Explanation:

To find the cost price of the headphones, we can use the formula:

Cost Price = Selling Price / (1 + Profit/Loss Percentage)

Let's start with Shyam's case. He suffered a loss of 11%. This means his selling price is 89% of the cost price. Let's assume the cost price of the headphones is x.

Shyam's selling price = 89% of x = 0.89x

Now, let's move on to his friend's case. His friend made a 5% profit, which means his selling price is 105% of the cost price. His friend sold the headphones for Rs. 500 more than Shyam, so his selling price is x + Rs. 500.

Friend's selling price = 105% of x = 1.05x

Since we know the selling prices for both Shyam and his friend, we can set up the following equation:

0.89x = x + Rs. 500

Solving this equation will give us the value of x, which is the cost price of the headphones.

Learn more about calculating the cost price of an item given the profit or loss percentage. here:

https://brainly.com/question/35710533

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Final answer:

The cost price of the headphones is Rs. 4750.

Explanation:

To find the cost price of the headphones, we can use the formula:

Cost Price = Selling Price / (1 + Profit/Loss Percentage)

Let's start with Shyam's case. He suffered a loss of 11%. This means his selling price is 89% of the cost price. Let's assume the cost price of the headphones is x.

Shyam's selling price = 89% of x = 0.89x

Now, let's move on to his friend's case. His friend made a 5% profit, which means his selling price is 105% of the cost price. His friend sold the headphones for Rs. 500 more than Shyam, so his selling price is x + Rs. 500.

Friend's selling price = 105% of x = 1.05x

Since we know the selling prices for both Shyam and his friend, we can set up the following equation:

0.89x = x + Rs. 500

Solving this equation will give us the value of x, which is the cost price of the headphones.

Learn more about calculating the cost price of an item given the profit or loss percentage. here:

https://brainly.com/question/35710533

#SPJ14

"

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