Answered

The marked price of an article is 25% more than its cost price. If a discount of 5% is given, there will be a profit of $ 37.50. How much profit or loss will be there in rupees if there is a discount of 10% ($1=Rs.98)​



Answer :

mhanifa

Rs. 24.50 profit if 10% discount

===========

Let the cost price be x.

Marked price is:

  • x + 25% of x =
  • x + 0.25x =
  • 1.25x

Find the discounted price:  

  • Discounted price =
  • Marked price - 5% of Marked price =
  • 1.25x - 0.05 * 1.25x =
  • 1.25x - 0.0625x =
  • 1.1875x

Find the profit:

  • Profit =
  • Discounted price - Cost price =
  • 1.1875x - x =
  • 0.1875x

Given that the profit is $37.50, we can find the cost:

  • 0.1875x = 37.50
  • x = 37.50 / 0.1875
  • x = 200

The cost price is $200.

Then, the marked price is:

  • 1.25* $200 = $250

Now, to find the selling price with a discount of 10%, we calculate:

  • Selling price =
  • Marked Price - 10% of Cost price =
  • 250 - 0.1 * 250 =
  • 250 - 25 =
  • 225

Since is is more that the cost, there is a profit:

  • 250 - 225 = 25

Convert the profit to Rs at given rate:

  • 25* Rs 0.98 = Rs 24.50

Final answer:

The cost price of the article is calculated to be $200. With a discount of 10%, there will be a profit of $25.

Explanation:

To find the profit or loss, we need to first calculate the cost price of the article. Let's assume the cost price is C.

According to the given information, the marked price of the article is 25% more than its cost price, which means the marked price is 1.25C.

If a discount of 5% is given, the selling price will be 95% of the marked price. So, the selling price is 0.95 * 1.25C = 1.1875C.

Given that there is a profit of $37.50, we can set up the equation:

1.1875C - C = $37.50

0.1875C = $37.50

C = $37.50 / 0.1875 = $200

Therefore, the cost price of the article is $200.

If a discount of 10% is given, the selling price will be 90% of the marked price. So, the selling price is 0.90 * 1.25C = 1.125C.

To calculate the profit or loss, we need to subtract the cost price from the selling price:

Profit/Loss = Selling Price - Cost Price = 1.125C - C = 0.125C

Substituting the value of C, we get:

Profit/Loss = 0.125 * $200 = $25

Therefore, there will be a profit of Rs. 25 if there is a discount of 10%.

Other Questions