Question

02. On selling an article for Rs.155 a man bears loss of 16⅔
Find the cost price of article.​

Answer 1

Answer :-

Given :-

• Selling price ( SP ) = Rs. 155
• Loss = 16⅔ %

To Find :-

• Cost price

Solution :-

We know that,

$\sf CP = \dfrac{100}{100 - loss \%} \times SP$

Substituting the values :-

$\implies\sf CP = \dfrac{100}{100 - 16 \dfrac{2}{3}} \times 155$

$\implies\sf CP = \dfrac{100}{100 - \dfrac{50}{3}} \times 155$

$\implies\sf CP = \dfrac{100}{\dfrac{3(100) - 50}{3}} \times 155$

$\implies\sf CP = \dfrac{100}{\dfrac{300 - 50}{3}} \times 155$

$\implies\sf CP = \dfrac{100}{\dfrac{250}{3}} \times 155$

$\implies\sf CP = \dfrac{10\cancel{0} \times 3}{25\cancel{0}} \times 155$

$\implies\sf CP = \dfrac{30}{25} \times 155$

$\implies\sf CP = 186$

Cost price of the article = Rs. 186

Answer 2

Answer:

QuestioN :

On selling an article for Rs.155 a man bears loss of 16⅔ . Find the cost price of article.​

GiveN :

• selling price of an article = Rs.155
• loss of 16⅔

To FiNd :

• The cost price of article.​

Formula :

$C.P=\frac{100}{100-Loss} *S.P$

ANswer :

The cost price of article is 186

SolutioN :

By using the formula,

$C.P=\frac{100}{100-Loss} *S.P$

Now put the value,

$\rightarrow C.P = \frac{100}{100-16\frac{2}{3} } * 155$

$\rightarrow C.P = \frac{100}{100-\frac{50}{3} } *155$

$\rightarrow C.P= \frac{\frac{100}{300-50} }3 *155$

$\rightarrow C.P = \frac{\frac{100}{250} }3 * 155$

$\rightarrow C.P = \frac{100*3}{250} *155$

$\rightarrow C.P= \frac{30}{25} *155$

$\rightarrow C.P = 186 \leftarrow$

∴The cost price of article is 186.