Question

Find the Cost price when : S.P. = rs 1500 and gain = 20% tell me the answer first I mark you as brainliest and tell me the answer step by step and send me the photo ​

Answer 1

Given that Selling price (SP) of any article is ₹1500 and gain is 20%

We have to find Cost price (CP) of article.

In this question, we have SP and Gain% so to find CP,

Required Formula:

• $\large{\boxed{\tt{\red{CP~=~ \bigg(\dfrac{100}{100+Gain\%}\bigg)\times SP}}}}$

Put value in above formula:

$\large{\tt{CP~=~ \bigg(\dfrac{100}{100+Gain\%}\bigg)\times SP}}$

$\implies\large{\tt{CP~=~ \bigg(\dfrac{100}{100+20}\bigg)\times 1500}}$

$\implies\large{\tt{CP~=~ \bigg(\dfrac{100}{120}\bigg)\times 1500}}$

$\implies\large{\tt{CP~=~ \bigg(\dfrac{100}{\cancel{120}}\bigg)\times{\cancel{1500}}}}$

$\implies\large{\tt{CP~=~\bigg(\dfrac{100}{12}\bigg)\times 150}}$

$\implies\large{\tt{CP~=~{\cancel{\dfrac{100}{12}}}\times 150}}$

$\implies\large{\tt{CP~=~\dfrac{25}{3}\times 150}}$

$\implies\large{\tt{CP~=~\dfrac{25}{\cancel{3}}\times{\cancel{150}}}}$

$\implies\large{\tt{CP~=~25\times 50}}$

$\implies\large{\tt{CP~=~1250}}$

Therefore,

• $\large{\boxed{\orange{\frak{CP~of~article~is~1250rs.}}}}$

Answer 2

Answer:

Given :

Selling price (SP) = Rs.1500

Gain% = 20%

To find:

Cost price (CP)

Solution :

The relation between Cost price (CP) , Selling price (SP) & Gain% is ,

Gain percentage= Sp-Cp/Cp×100

We have ,

SP = Rs.1500

Gain% = 20%

Substituting the values in the formula ,

=20×1500×Cp/Cp×100

20Cp=(1500-Cp)100

20CP=1500(100)-100Cp

20Cp+100Cp=1500×100

120Cp=1500×100

Cp=1500×100/120

Cp=₹1250

Hence cost price is ₹1250

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