Question

two articles are bought at the same price one is sold at 15 percent loss and other is 10 percent loss find overall loss percentage​

Answer 1

Overall loss percentage is 12.5 % .

Given: Loss % of both items, cost price

To Find: Overall loss %

Solution :

Let the price of both articles be Rs 100 each. Therefore, total Cost Price is Rs 200.

For first article, loss = 15%.

So, Selling Price of first article is 100 - 15 = Rs 85.

For second article, loss = 10%.

So, Selling Price of second article is Rs 90.

Total selling price = 90 + 85 = Rs 175.

Total loss = Total CP - Total SP

= 200 - 175 = Rs 25.

Overall loss percentage = (Total Loss / Total Cost Price) x 100

= (25/200) x 100

= 12.5 %

Therefore, overall loss percentage is 12.5 % .

Answer 2

The overall loss percentage is 12.5 % .

Given:

Two articles are bought at the same price. One is sold at 15% loss and other at 10% loss.

To Find:

The overall loss percentage​.

Solution:

Let us assume that the price at which both articles are bought is Rs 100 each.

Hence, the total cost price = Rs 200

The loss incurred on the first article = 15% of 100 = Rs 15

∴ Selling price of first article = 100 - 15 = Rs 85.

The loss incurred on the second article= 10% of 100 = Rs 100.

∴ Selling price of second article = 100 - 10 = Rs 90.

Hence, total selling price = 85+90 = Rs 175.

Now,

Total loss = Total cost price - Total selling price

⇒Total loss = 200 - 175 = Rs 25.

  Overall loss percentage = (Total Loss / Total Cost Price) x 100

⇒ Overall loss percentage = (25/200) x 100 = 12.5 %

Therefore, the overall loss percentage is 12.5 % .

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