Question

if Akil sold an article for rupees 500 and gained 25% on it find the cost price of the article .​

Answer 1

Step-by-step explanation:

CP=100 / 100+profit% ×SP

according to your question here Sp = 500

and profit%=25% so here's your answer......

CP=100/ 100+25×500

now, 100/125×500

now, you can do your actual calculation

after this answer will come 20×20......then

FINAL ANSWER = 400

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Answer 2

GiveN:-

Akil sold an article for rupees 500 and gained 25% on it.

To FinD:-

The cost price of the article.

SolutioN:-

We know that,

$\large{\green{\underline{\boxed{\bf{SP=\left(1+\dfrac{Gain\%}{100}\right)\times\:CP}}}}}$

where,

• SP = Rs.500
• Gain% = 25%
• CP = ?

Putting the values,

$\large\implies{\sf{500=\left(1+\dfrac{25\%}{100}\right)\times\:CP}}$

$\large\implies{\sf{500=\left(1+\dfrac{\cancel{25}}{\cancel{100}}\right)\times\:CP}}$

$\large\implies{\sf{500=\left(1+\dfrac{1}{4}\right)\times\:CP}}$

$\large\implies{\sf{500=\left(\dfrac{4+1}{4}\right)\times\:CP}}$

$\large\implies{\sf{500=\left(\dfrac{5}{4}\right)\times\:CP}}$

$\large\implies{\sf{\dfrac{500\times4}{5}=CP}}$

$\large\implies{\sf{\dfrac{\cancel{500}\times4}{\cancel{5}}=CP}}$

$\large\implies{\sf{100\times4=CP}}$

$\large\implies{\sf{400=CP}}$

$\large\therefore\boxed{\bf{CP=Rs.400.}}$

VerificatioN:-

We know that,

$\large{\green{\underline{\boxed{\bf{Gain=SP-CP}}}}}$

where,

• SP = Rs.500
• CP = Rs.400

Putting the values,

$\large\implies{\sf{Gain=Rs.(500-400)}}$

$\large\therefore\boxed{\bf{Gain=Rs.100}}$

Now,

$\large{\green{\underline{\boxed{\bf{Gain\%=\dfrac{Gain}{CP}\times100}}}}}$

where,

• Gain = Rs.100
• CP = Rs.400
• Gain% = 25%

Putting the values,

$\large\implies{\sf{25\%=\dfrac{100}{400}\times100}}$

$\large\implies{\sf{25\%=\dfrac{100}{4\cancel{0}\cancel{0}}\times1\cancel{0}\cancel{0}}}$

$\large\implies{\sf{25\%=\dfrac{100}{4}}}$

$\large\implies{\sf{25\%=\dfrac{\cancel{100}}{\cancel{4}}}}$

$\large\implies{\sf{25\%=25\%}}$

$\large\therefore\boxed{\bf{LHS=RHS.}}$

Hence verified.

The Cost Price of the article is Rs.400.