A woman sold $15$ bedsheets for $₹ 15000$ . Hence gaining $5$ bedsheet's cost prices. The cost per sheet is___________.

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Solution

Given:
A woman sold $15$ bed sheets for $₹ 15000$
Profit gained = cost price of $5$ bed sheet’s
To find:
Cost of one bed sheet = ?
Solution:
The selling price of $15$ bed sheet is $₹ 15000$
That indicates that the selling price of a single bed sheet is
The selling price of $15$ bed sheet is $₹ 15000$ $\frac{T o t a l s e l l i n g p r i c e}{T o t a l n u m b e r o f u n i t s} = \frac{15000}{15} = ₹ 1000$
The cost price of a single bed sheet is $X$
The cost price of 15 bed sheet is = $15 X$
The gain price is $5 X$ , therefore, according to the formula
Gain = SP – CP
$5 X = S P - 15 X$
$20 X = S P$ with SP being $15000$
The cost price of a single bed sheet is = $\frac{15000}{20} = ₹ 750$
Hence, the cost price of a single bed sheet is $₹ 750$

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A woman sold 15 bedsheets for ₹15000. Hence gaining 5 bedsheet's cost prices. The cost per sheet is___________.

A woman sold $15$ bedsheets for $₹ 15000$ . Hence gaining $5$ bedsheet's cost prices. The cost per sheet is___________.