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:
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