Question

2. By selling a T.V. for 8,000, a shopkeeper loses 20% of his cost. If he sells it for
11,000, what profit or loss would be there for him?​

Answer 1

Answer:

Step-by-step explanation:

first we should find the cost price

100×8000=800000

800000÷80=10000

so cp is equal to 10000

11000 sold then profit of 1000

so profit% = 1000×100÷10000

100000÷10000

10% so he gets a profit of 10%

thank you

Answer 2

Solution :

$\underline{\bf{Given\::}}}}$

• Selling price of a T.V. = Rs.8000
• Shopkeeper loss = 20%
• He's total Selling price of T.V. = Rs.11000

$\underline{\bf{Explanation\::}}}}$

Le the cost price of T.V be Rs.r

Using formula of the loss percent :

$\boxed{\bf{C.P.=\bigg(\frac{100\%}{100-loss\%} \bigg)\times S.P}}}}$

$\longrightarrow\tt{C.P.=\bigg(\dfrac{100\%}{100-20\%} \bigg)\times 8000}\\\\\\\longrightarrow\tt{C.P.=\dfrac{100}{80} \times 8000}\\\\\\\longrightarrow\tt{C.P.=\cancel{\dfrac{800000}{80} }}\\\\\\\longrightarrow\bf{C.P.=Rs.10000}$

Now;

S.P > C.P

⇒ Profit = Selling price - Cost price

⇒ Profit = Rs.11000 - Rs.10000

⇒ Profit = Rs.1000

$\longrightarrow\sf{Profit\:\%=\bigg(\dfrac{Profit\times 100}{Cost\:price} \bigg)\%}\\\\\\\longrightarrow\sf{Profit\:\%=\bigg(\dfrac{1000\times 100}{10000} \bigg)\%}\\\\\\\longrightarrow\sf{Profit\:\%=\bigg(\cancel{\dfrac{100000}{10000} }\bigg)\%}\\\\\\\longrightarrow\bf{Profit\:\%=10\%}$