Question

The cost price of 12 pencil is equal to the selling price
of 15 pencil then % loss is:
​

Answer 1

Let the cost price of a pencil be x

So cost price of 12 pencils = 12x

Let the selling price of a pencil be y

So , the selling price of 15 pencils = 15y

Now according to the question :-

12x = 15y

=> 4x = 5y

=> 4x/5 = y - {1}

Also ,selling price of 12 pencils = 12y => 12 x 4x/5

[ From Equation {1} ]

=> 48x/5

Here , We can see it is in loss

So , here Loss = CP - SP

=> 12x - 48x/5

=> (60x - 48x)/5

=> 12x/5

So , Loss % = Loss / Cost Price x 100

=> (12x/5 ÷ 12x ) x 100

=> (12x/5 x 1/12x) x 100

=> 100/5

=> 20 %

So Loss is 20%

Hope it helped you...