Math, asked by melodies, 11 months ago

23. The profit made by selling 30 m of a cloth equals the
cost price of 6 m of that cloth. Find the profit
percentage.
(1) 25% (2) 20% (3) 16213% (4) 30% +​

Answers

Answered by santy2
2

Answer:

profit percentage= 20%

Step-by-step explanation:

Let the cost price be denoted by x and selling price be denoted by y

The amount made after selling 30m of the cloth is 30y.

The cost incurred for the 30 m of the cloth is 30x

The profit made is the difference between these two amounts

profit=30y-30x\\

Now, if this profit amounts to the cost price of 6 m of the cloth, then we can form the following equation

30y-30x=6x\\30y=6x+30x\\30y=36x\\\frac{30y}{30}=\frac{36x}{30} \\y=1.2x\\

Therefore, the selling price is 120% of the cost price

Thus, the percentage profit is (120-100=20)%

profit percentage= 20%

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