A mobile dealer sells a mobile at a discount of 25% on its marked price and earns a profit of 10%. If the marked price of the mobile is 8800, what will be the cost price of the mobile? 6075​

Respuesta :

Given :

Discount = 25% .

Profit = 10%.

Marked price of mobile = Rs.8800.

Find :

Cost Price of the mobile

Solution :

As we know that, their is no direct relation between Mark price and cost price . so we have to work on selling price of the mobile.

So,

→ MP of mobile = Rs.8800

→ Discount = 25% .

than,

→ SP of mobile = MP * (100 - discount%) / 100

→ SP of mobile = 8800 * (100 - 25) / 100

→ SP of mobile = 88 * 75

→ SP of mobile = Rs.6600 .

Now,

→ SP of mobile = Rs.6600

→ Profit % = 10% .

than,

→ CP of mobile = SP * 100 / (100 + Profit%)

→ CP of mobile = 6600 * 100 / (100 + 10)

→ CP of mobile = (6600 * 100) / 110

→ CP of mobile = 60 * 100

→ CP of mobile = Rs.6000 . (Ans.)

Hence , Cost Price of the mobile is Rs.6000.

I hope it will help you.

Regards.

A percentage is a way to describe a part of a whole. The cost price of the mobile phone is 6,000.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

Let the cost price of the mobile be represented by x.

Given that dealer earn profit of 10% on its cost price, therefore, we can write the selling price of the mobile as,

Selling price = Cost price + Profit

                     = x + 10% of x

                     = 1.10x

Also, given that the mobile dealer sells a mobile at a discount of 25% on its marked price. Therefore, we can write the selling price as,

Selling price = Marked price - Discount

                     = Marked price - 25% of marked price

                     = 8,800 - 25% of 8,800

                     = 8,800 - 0.25(8,800)

                     = 8,800 - 2,200

                     = 6,600

Now, Comparing the sales price we got from above two equation, therefore, the cost price of the mobile can be written as,

1.10x = 6,600

x = 6,600/1.10

x = 6,000

Hence, the cost price of the mobile phone is 6,000.

Learn more about Percentages here:

https://brainly.com/question/6972121

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