Question

Find the cost of (ii) S.P. = 22 and loss = 12%
(iv) S.P. = 200 and loss = 350​

Answer 1

Cost Price

Cost Price is the price at which goods are bought. We use Cost Price to find, Profit, Loss, Profit and Loss percentages.

Now Let's move on solving the Questions.

1) Given,

• Selling Price = 22
• Loss % = 12 %

Formula to find Cost Prince when Loss % is given,

$\boxed{Cost\:Price\:=\:{\dfrac{100}{100\:-\:Loss\:percent}}\:\times\:Selling\:Price}$

Substituting values in Formula, we get,

$\implies\sf{Cost\:Price\:=\:{\dfrac{100}{100\:-\:12}}\:\times\:22}$

$\implies\sf{Cost\:Price\:=\:{\dfrac{100}{88}}\:\times\:22}$

$\implies\sf{Cost\:Price\:=\:{\cancel{{\dfrac{100}{88}}\:\times\:22}}}$

$\implies\sf{Cost\:Price\:=\:25}$

2) Given,

• Selling Price = 200
• Loss = 350

Here it is given only Loss, but we need loss %, so first let's find the loss %

Formula to find Cost Price when Loss is given,

$\boxed{Loss\:=\:Cost\:Price\:-\:Selling\:Price}$

Substituting values in Formula, we get,

$\implies\sf{Loss\:=\:Cost\:Price\:-\:Selling\:Price}$

$\implies\sf{350\:=\:CP\:-\:200}$

$\implies\sf{CP\:=\:350\:-\:200}$

$\implies\sf{CP\:=\:150}$

Hence, The Cost Price in the first case = 25 and second case = 150 .