Question

& The
selling price of 12 pens is
the cost price of 15 pens
Find the
gain percent
​

Answer 1

Answer:

25% is the gain

Explanation:

• Let SP of 12 pens = 12x
• SP of one pen = x

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Given that SP of 12 pens is same as the CP of 15 pens.

• CP of 15 pens = SP of 12 pens
• CP of 15 pens = 12x
• CP of 1 pen = 12x/ 4 = 3x/4

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Gain = SP - CP

$\rm\implies Gain=x-\dfrac{3x}{4}$

$\rm\implies Gain= \dfrac{4x-3x}{4}$

$\rm\implies Gain=\dfrac{x}{4}$

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$\underline{\boxed{\rm\bold{ Gain\%= \dfrac{Gain }{Cp}\times 100}}}$

$\rm\implies\dfrac{x }{ 4 \times x}\times 100$

$\rm\implies\dfrac{\not x }{ 4 \times\!\!\!\! \not x}\times 100$

$\rm\implies \dfrac{1}{4}\times 100$

$\rm\implies 25$

The total Gain is 25%