Question

If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is​

Answer 1

Solution

Given :-

• the cost price of 12 pens is equal to the selling price of 8 pens.

Find :-

• Gain in percentage

Explanation

We Know, for gain percentage first calculate gain.

So, Now calculate

Let,

• CP of 12 pens = Rs x
• CP of 1 pens = Rsx/12

Therefore,

• SP of 8 pens also = Rs. x
• SP of 1 pens also = Rs. x/8

Then,

==> Gain = x/8 - x/12

==> Gain = x(12 - 8)/96

==> Gain = 4x/96

==> Gain = x/24

Now, Calculate %gain

Formula

$\dag\boxed{\underline{\tt{\red{\:Gain\%\:=\:\dfrac{Gain\times 100}{C.P.}}}}}$

==> Gain% = (x/24 × 100)/(x/12)

==> Gain% = 100×12/24

==> Gain% = 100/2

==> Gain % = 50%

Hence

• Gain% will be = 50%.

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