Question

Anas sold TV for rupees 15000 making a profit 25% find the cost price of the TV​

Answer 1

$\textbf{\underline{\underline{Answer :- }}}$

The cost Price of the Television is Rs.12,000

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

Selling Price of the Television = Rs.15000

Profit % = 25 %

To find :

The cost Price of the Television

Solution :

As we know,

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

$\sf{\implies \: CP = \dfrac{100}{(100 + 25)} \times 15000}$

$\sf{\implies \: CP = \dfrac{100}{125} \times 15000}$

$\sf{\implies \: CP = \dfrac{1500000}{125} }$

$\sf{\implies \: CP = 12000}$

${\boxed{\bigstar{\sf\:{CP = Rs.12000}}}}$

$\therefore$The Cost Price of the Television is Rs.12,000

$\textbf{\underline{\underline{Verification :-}}}$

As we got the Cost Price and Selling Price, we can verify it by solving for Profit %

${\boxed{\sf\:{Profit\% = \frac{SP - CP}{CP} \times 100}}}$

$\sf{\Longrightarrow25\% = \dfrac{15000 - 12000}{12000} \times 100}$

$\sf{\Longrightarrow25\% = \dfrac{3000}{12000} \times 100}$

$\sf{\Longrightarrow25\% = \dfrac{300000}{12000}}$

$\sf{\Longrightarrow25\% = 25}$

${\boxed{\bigstar{\sf\: \: {25\% = 25 \%}}}}$

Here, when we placed the value of Cost Price, we got the correct Profit % (25%)

$\therefore$ The cost Price of the Television is Rs.12,000

Answer 2

Answer:

Answer :-

The cost Price of the Television is Rs.12,000

\textbf{\underline{\underline{Explanation :-}}}

Explanation :-

Given :

Selling Price of the Television = Rs.15000

Profit % = 25 %

To find :

The cost Price of the Television

Solution :

As we know,

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

CP=

(100+profit%)

100

×SP

\sf{\implies \: CP = \dfrac{100}{(100 + 25)} \times 15000}⟹CP=

(100+25)

100

×15000

\sf{\implies \: CP = \dfrac{100}{125} \times 15000}⟹CP=

125

100

×15000

\sf{\implies \: CP = \dfrac{1500000}{125} }⟹CP=

125

1500000

\sf{\implies \: CP = 12000}⟹CP=12000

{\boxed{\bigstar{\sf\:{CP = Rs.12000}}}}

★CP=Rs.12000

\therefore∴ The Cost Price of the Television is Rs.12,000

\textbf{\underline{\underline{Verification :-}}}

Verification :-

As we got the Cost Price and Selling Price, we can verify it by solving for Profit %

{\boxed{\sf\:{Profit\% = \frac{SP - CP}{CP} \times 100}}}

Profit%=

CP

SP−CP

×100

\sf{\Longrightarrow25\% = \dfrac{15000 - 12000}{12000} \times 100}⟹25%=

12000

15000−12000

×100

\sf{\Longrightarrow25\% = \dfrac{3000}{12000} \times 100}⟹25%=

12000

3000

×100

\sf{\Longrightarrow25\% = \dfrac{300000}{12000}}⟹25%=

12000

300000

\sf{\Longrightarrow25\% = 25}⟹25%=25

{\boxed{\bigstar{\sf\: \: {25\% = 25 \%}}}}

★25%=25%

Here, when we placed the value of Cost Price, we got the correct Profit % (25%)

\therefore∴ The cost Price of the Television is Rs.12,000