Question

if the cp of 5 pen is equal to the sp of 4 pen of same kind find the profit percent​

Answer 1

Required Solution:

$\boxed{\sf {Profit \: \% = 25 \: \% }}$

As the cost price of 5 pens and selling price 4 pens are equal. So, we'll find their LCM and shall take as their cost price and selling price.

$\longrightarrow$ L.C.M of 5 & 4 = 20

Let,

• CP of 5 pens = Rs. 20

• SP of 4 pens = Rs. 20

So,

→ CP of 1 pen = Rs. $\sf \cancel{ {\dfrac{20}{5} }}$

→ CP of 1 pen = Rs. 4

Also,

→ SP of 1 pen = Rs. $\sf \cancel{ {\dfrac{20}{4} }}$

→ SP of 1 pen = Rs. 5

Clearly, SP is greater than CP. So, here is Profit.

$\bigstar \: \boxed{\sf {Profit = SP-CP}}$

⇒ Profit = Rs. ( 5 - 4 )

⇒ Profit = Rs. 1

Now, we know that,

• $\rm \red { Profit \: \% = \Bigg( \dfrac{Profit}{C.P} \times 100 \Bigg)\%}$

⇒ $\sf {Profit \: \% = \Bigg( \dfrac{1}{\cancel{4}} \times \cancel{100} \Bigg)\% }$

⇒ $\boxed{\sf {Profit \: \% = 25 \: \% }}$

Therefore, profit% is 25%.

More formulae:

• Gain = S.P – C.P
• Loss = C.P – S.P

• $\rm { Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%}$

• $\rm { Loss \: \% = \Bigg( \dfrac{Loss}{C.P} \times 100 \Bigg)\%}$

• $\rm { S.P = \dfrac{100+Gain\%}{100} \times C.P}$

• $\rm { C.P =\dfrac{100}{100+Gain\%} \times S.P}$

• $\rm { S.P = \dfrac{100-loss\%}{100} \times C.P}$

• $\rm { C.P =\dfrac{100}{100-loss\%} \times S.P}$

Answer 2

Answer:

profit percent =25 %

As the cost price of 5 pens and selling price 4 pens are equal. So, we'll find their LCM and shall take as their cost price and selling price.

⟶ L.C.M of 5 & 4 = 20

Let,

• CP of 5 pens = Rs. 20

• SP of 4 pens = Rs. 20

So,

→ CP of 1 pen = 20/5

= 4

Also,

→ SP of 1 pen = 20/4

→ SP of 1 pen = Rs. 5

Clearly, SP is greater than CP. So, here is Profit.

★ Profit=SP−CP

⇒ Profit = Rs. ( 5 - 4 )

⇒ Profit = Rs. 1

Now, we know that,

Profit%=(Profit/ CP ×100)%

Profit%=25%

Therefore, profit% is 25%.

Step-by-step explanation:

hopefully it will work ☺️☺️