Question

fit and Loss
Dia bought a sofa for rupees 50,000. She sold it at a profit of 10%.
How much profit did she make? What is the selling price?
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Answer 1

Step-by-step explanation:

here is the answer

hope it helps

Answer 2

➤ Given :-

Cost price of the sofa :- ₹ 50000

Profit percentage :- 10%

➤ To Find :-

Profit and selling price of the sofa

➤ Solution :-

First, we should find the value of the profit in numerical format by finding 10% of 50000, then we can find tye selling price by adding the cost price and profit

Profit of the sofa :-

${\tt \longrightarrow 10 \bf\% \tt \: \: of \: \: 50000}$

${\tt \longrightarrow \dfrac{10}{100} \times 50000}$

${\tt \longrightarrow \dfrac{10}{\cancel{100}} \times \cancel{50000} = \dfrac{10}{1} \times 500}$

${\tt \longrightarrow \dfrac{10 \times 500}{1} = \dfrac{5000}{1}}$

${\tt \longrightarrow \dfrac{5000}{1} = \boxed{\tt Rs \: \: 5000}}$

Selling price of the sofa :-

${\tt \longrightarrow 50000 + 5000}$

${\tt \longrightarrow Rs \: \: 55000}$

$\Huge\therefore$ The profit of the sofa is ₹ 5000 and the selling price is ₹ 55000.

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$\dashrightarrow$ Some related formulas :-

Profit :- ${\boxed{\tt SP-CP}}$

Loss :- ${\boxed{\tt CP-SP}}$

Profit percentage :- ${\boxed{\tt\dfrac{Profit}{CP} \times 100}}$

Loss percentage :- ${\boxed{\tt\dfrac{Loss}{CP} \times 100}}$

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More to know :-

• Profit and loss are obtained for all shopkeepers in their shops. The profit is obtained when the selling price is greater than cost price. The loss is obtained when the cost price is greater than selling price. The profit and loss can also be converted into percentage format by some mathematical formulas.
• To convert the profit to percentage from, first we should divide the profit and cost price and then multiply by 100.
• To convert the loss to percentage form, first we should divide the loss and cost price and then multiply by 100.