Question

Find the Cost price when : S.P. = rs 1500 and gain = 20%


tell me the answer first I mark you as brainliest​

Answer 1

Answer:

Answer:

Given :-

Selling Price is Rs 1500 and gain percentage is 20%.

To Find :-

What is the cost price.

Formula Used :-

$\clubsuit$ Profit or Gain Percentage Formula :

$\footnotesize\mapsto \sf\boxed{\bold{\pink{Gain\% =\: \bigg\lgroup\dfrac{Selling\: Price - Cost\: Price}{Cost\: Price}\bigg\rgroup \times 100}}}$

Solution :-

Let,

$\mapsto \sf\bold{\purple{Cost\: Price =\: Rs\: x}}$

Given :

$\bigstar\: \: \bf{Selling\: Price =\: Rs\: 1500}$

$\bigstar\: \: \bf{Gain\% =\: 20\%}$

According to the question by using the formula we get,

$\longrightarrow \sf 20 =\: \dfrac{1500 - x}{x} \times 100$

$\longrightarrow \sf 20 =\: \dfrac{(1500 - x) \times 100}{x}$

$\longrightarrow \sf 20 =\: \dfrac{150000 - 100x}{x}$

By doing cross multiplication we get,

$\longrightarrow \sf 20x =\: 150000 - 100x$

$\longrightarrow \sf 20x + 100x =\: 150000$

$\longrightarrow \sf 120x =\: 150000$

$\longrightarrow \sf x =\: \dfrac{15000\cancel{0}}{12\cancel{0}}$

$\longrightarrow \sf x =\: \dfrac{\cancel{15000}}{\cancel{12}}$

$\longrightarrow \sf x =\: \dfrac{1250}{1}$

$\longrightarrow \sf\bold{\red{x =\: Rs\: 1250}}$

${\small{\bold{\underline{\therefore\: The\: cost\: price\: is\: Rs\: 1250\: .}}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

EXTRA INFORMATION :-

❒ $\sf \bold{\pink{Profit =\: SP - CP}}$

❒ $\sf \bold{\pink{Loss =\: CP - SP}}$

❒ $\sf\bold{\pink{CP =\: \bigg(\dfrac{100}{100 + Gain\%}\bigg) \times SP}}$

❒ $\sf\bold{\pink{CP =\: \bigg(\dfrac{100}{100 - Loss\%}\bigg) \times SP}}$

❒ $\sf\bold{\pink{SP =\: \bigg(\dfrac{100 + Gain\%}{100}\bigg) \times CP}}$

❒ $\sf\bold{\pink{SP =\: \bigg(\dfrac{100 - Loss\%}{100}\bigg) \times CP}}$