Question

If the cost price of 20 pencils is equal to the selling price of 15 pencils then what is profit percent

Answer 1

Let the cost price of 1 pencil = x

Cost price of 20 pencils = 20x

Selling Price of 15 pencils = 20x

Selling Price of 1 pencil = 20x/15 = 5/4x

Profit =

$\frac{5}{4} x - x \\ \\ \frac{5x - 4x}{4} = \frac{x}{4}$

$profit \: percent \: = \frac{profit}{cost \: price} \times 100 \\ \\ \frac{ \frac{x}{4} }{x} \times 100 \\ \\ \frac{x}{4x} \times 100 = \frac{100}{4} = 25$

The required profit percentage is 25%

Answer 2

Heyy Buddy

Here's your Answer

Let the cost price of 1 pencip be x.

=> Cost of 20 pencil = 20x

We know that, Cost of 20 pencil is equal to S.P of 15 pencil

=> S.P of 15 pencil = 20x.

Now,

S.P. of 1 pencil = Cost of 20 pencil / No. of pen sold

=> S.P of 1 pencil = 20x/15

=> 5x/4

Now,

Profit = S.P of 1 pencil- C.P of 1 pen

$= > \frac{5x}{4} - x \\ \\ = > \frac{5x - 4x}{4} \\ \\ = > \frac{x}{4}$

Now,

Profit Percent = Profit/ C.P × 100

$\frac{ \frac{x}{4} }{x} \times 100 \\ \\ = > \frac{x}{4x} \times 100 \\ \\ = > \frac{100}{4} \\ \\ = > 25\%$
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