A dealer in textile items purchases 40m of a variety of cloth and sells it so as to make a profit equivalent the selling price of 4m of the cloth. What is the profit percentage?
Options:- 1) 10 .2)100/9 .3)83/9 .4)11
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Given info : A dealer in textile items purchases 40m of a variety of cloth and sells it so as to make a profit equivalent the selling price of 4m of the cloth.
To find : the percentage profit is..
solution : here,
40 S.P - 40 C.P = 4 S.P
⇒36 S.P = 40 C.P
⇒S.P/C.P = 40/36 = 10/9
here S.P = 10 units, C.P = 9 units
so, profit = 10 - 9 = 1 unit
now percentage profit = profit/cost price × 100
= 1 unit/9 unit × 100
= 100/9
Therefore the percentage profit is 100/9 %
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