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b)
A retailer sold an article to a customer at a loss of 10%. The customer purchased
it for Rs 25,425 including 13% VAT. Calculate the cost price of the article to the
retailer.​









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Sagot :

Answer:

loss=10%

sp with vat=rs25425

sp=sp with vat-vat%of sp=rs25425-13/100×sp

sp+13/100×sp=rs25425

(100sp+13sp)/100=rs25425

113sp=rs2542500

sp=rs2542500/113=22500

cp=sp+loss %of cp

cp-10/100×cp=22500

(10cp-cp)/100=22500

9cp=2250000

cp=2250000/9=250000

A percentage is a way to describe a part of a whole. The cost price of the article is Rs. 25,000.

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%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the article be represented by x. Since the customet paid 13% vat , therefore,

x + 13% of x = Rs. 25,425

x + 0.13x = 25,425

1.13x = 25,425

x = 22,500

Thus, the selling price is 22,500.

Since the retailer had a 10% loss, therefore, the selling price will be 90% of the cost price.

90% of cost price = selling price

0.90×Cost price = 22,500

Cost price = 25,000

Hence, the cost price of the article is Rs. 25,000.

Learn more about Percentages:

https://brainly.com/question/6972121

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