Question

find CP if SP = ₹1465 profit% = 15.25% please tell steps properly ​

Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Introduction

=>The cost at which an articles is purchased is called its cost price (CP)

=>The cost at which an articles sold is called its selling price (SP).

⋆If SP is greater than CP then it is profit or gain.

⋆If CP is greater than SP then it is loss.

Given :

selling price (sp)=₹1465

Profit$\%$=15.25

To Find :

Cost price (cp)

When SP and profit are given then cp can be find by using this formula :

$\boxed{CP = \bigg [\frac{100}{(100 + Gain\%)} \bigg]\times SP}$

$CP = \frac{100}{(100 + 15.25)} \times 1465$

$= \frac{100}{115.25} \times 1465$

$= \frac{10000}{11525} \times 1465$

$= 1271.14$

Hence ,Cost price is ₹1271.14

Extra information

when Cost price and gain $\%$ is given and have to find selling price then this formula is used :

$\boxed{SP=\bigg[\dfrac{(100+Gain\%)}{100}\times CP\bigg]}$

⋆When an article is sold at a profit of x$\%$ then selling price would be =x$\%$ of cp.

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Introduction

=>The cost at which an articles is purchased is called its cost price (CP)

=>The cost at which an articles sold is called its selling price (SP).

⋆If SP is greater than CP then it is profit or gain.

⋆If CP is greater than SP then it is loss.

Given :

selling price (sp)=₹1465

Profit$\%$=15.25

To Find :

Cost price (cp)

When SP and profit are given then cp can be find by using this formula :

$\boxed{CP = \bigg [\frac{100}{(100 + Gain\%)} \bigg]\times SP}$

$CP = \frac{100}{(100 + 15.25)} \times 1465$

$= \frac{100}{115.25} \times 1465$

$= \frac{10000}{11525} \times 1465$

$= 1271.14$

Hence ,Cost price is ₹1271.14

Extra information

when Cost price and gain $\%$ is given and have to find selling price then this formula is used :

$\boxed{SP=\bigg[\dfrac{(100+Gain\%)}{100}\times CP\bigg]}$

⋆When an article is sold at a profit of x$\%$ then selling price would be =x$\%$ of cp.