Question

when a towel is sold for $38 ,there is a loss of 5% l.What is the cost price of the towel?
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Answer 1

Answer:

9/8 it is your answer

Step-by-step explanation:

38×5/100

Answer 2

➤ Given :-

Selling price of the towel :- ₹38

Loss percentage :- 5%

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➤ To Find :-

Cost price of the towel

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➤ Formula required :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100}{(100 - Loss \bf\%)} \times SP}}}}$

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★ How to do :-

Here, we are given with the selling price and the loss percentage of the towel. We should find the cost price of the towel. The selling price is ₹38 and the loss percentage is 5%. So, this information is enough for finding the coat price of any object. So, we can use the formula given above to find the cost price. First, we should solve the bracket which is in denominator and then we can solve the rest process.

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➤ Solution :-

Cost price of the towel :-

${\tt \leadsto \dfrac{100}{(100 - 5)} \times 38}$

${\tt \leadsto \cancel \dfrac{100}{95} \times 38 = \dfrac{20}{19} \times 38}$

${\tt \leadsto \dfrac{20}{ \cancel{19}} \times \cancel{38} = \dfrac{20}{1} \times 2}$

${\tt \leadsto \dfrac{20 \times 2}{1} = \dfrac{40}{1}}$

${\tt \leadsto \cancel \dfrac{40}{1} = \boxed{\tt Rs \: \: 40}}$

$\Huge\therefore$ The coat price of that towel is ₹40.

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$\dashrightarrow$ Some related formulas :-

$\tt \to \boxed{\tt Profit = SP - CP} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt \to \boxed{\tt Loss = CP - SP} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt \to \boxed{ \tt Profit \: percentage = \dfrac{Profit}{Cost \: price} \times 100} \: \: \: \: \: \: \\ \\ \tt \to \boxed{\tt Loss \: percentage = \dfrac{Loss}{Cost \: price} \times 100} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt \to \boxed{\tt Selling \: price = \dfrac{(100 + Profit \bf\%)}{100} \times CP \: \: \: \: \: }$