Question

by selling a chair for rupees 30 a dealer makes a profit of 25% what price did the dealer pay for it ​

Answer 1

Answer:

Cost Price of the chair is Rs. 24.

Step-by-step explanation:

Given :

Selling Price = Rs. 30

Profit % = 25%

To find :

The cost price of the chair

Solution :

SP = 30

P % = 25%

CP = ??

${\boxed{\tt\:{CP = \frac{100}{(100 + profit\%)} \times SP}}}$

$\implies{\tt\:{CP = \dfrac{100}{(100 + 25)} \times 30}} \\ \\ \implies{\tt\:{CP = \dfrac{100}{125} \times 30}} \\ \\ \implies{\tt\:{CP = \dfrac{3000}{125}}} \\ \\ \implies{\tt\:{CP = 24}}$

Cost Price = Rs. 24

$\therefore$ Cost Price of the chair is Rs. 24.

Answer 2

Answer:

$\huge{\boxed{\bold{Answer=Rs.24}}}$

_________________________

Given that,

• $\bold\red{S.P. \:of\: chair = \:Rs.30}$
• $\bold\purple{Profit =25\%}$
• $\bold\green{C.P.\:of\:chair\:=\:?}$

Let's consider the C.P. of chair be Rs.X

Here,

$\bold{Profit=25\% \:of\: \:C.P.} \\ \bold{\rightarrow{Profit= X\times 25\%}} \\ \bold{\rightarrow{Profit=X \times \frac{25}{100}}} \\ \bold{\rightarrow{Profit = X \times \frac{1}{4}}} \\ \bold{\rightarrow{Profit = \frac{X}{4}}}$

Formula used:-

${\boxed{\bold{C.P.\:=S.P.\: \: - Profit}}}$

$\rightarrow\tt X = 30 - \frac{X}{4} \\ \rightarrow\tt X + \frac{X}{4} = 30 \\ \rightarrow\tt \frac{4X+ X}{4} = 30 \\ \rightarrow\tt 5X =120 \\ \rightarrow\tt X =\frac{120}{5} \\ \rightarrow\tt X = Rs.24$

$\therefore\bold {\underline {Cost\:price=Rs.24}}$