Question

5. The cost of an article was 20000 and 1400 were spent on its repairs. .it is sold for
a profit of 20%, find the selling price of the article.

​

Answer 1

➤ Given :-

Cost price of an article :- ₹20000

Cost spent for repairs :- ₹1400

Profit percentage :- 20%

➤ To Find :-

Selling price of an article

➤ Formula required :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{(100 + Profit \bf\%)}{100} \times Cost \: price}}}}$

➤ Solution :-

First, we should find the total cost price of the article by adding the given cost price and the cost spent on its repairs

Cost price :-

${\tt \longrightarrow 20000 + 1400}$

${\tt \longrightarrow Rs \: \: 21400}$

Now,

Selling price :-

${\tt \longrightarrow \dfrac{(100 + 20)}{100} \times 21400}$

${\tt \longrightarrow \cancel \dfrac{120}{100} \times 21400 = \dfrac{6}{5} \times 21400}$

${\tt \longrightarrow \dfrac{6 \times 21400}{5} = \dfrac{182400}{5}}$

${\tt \longrightarrow \cancel \dfrac{182400}{5} = \boxed{\tt Rs \: \: 25680}}$

$\Huge\therefore$ The selling price of an article is ₹25680.

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

Cost price :- ${\boxed{\tt\dfrac{100}{(100 + Profit \bf\%)} \times SP}}$

Answer 2

Given :-

• Cost Price ( CP ) of an article is Rs. 20,000
• Money spent on repairs is Rs. 1,400
• Sold for profit of 20 %

To Find :-

• Selling Price ( SP ) of that article

Solution :-

→ Here , in the question we're given that Rs. 1,400 were spent on repairing the article . So, we'll add that amount in the cost price of the article .

$\sf \implies 20,000 + 1,400$

$\sf \implies Rs. \; 21,400$

→ ATQ we need to find the Selling price of that article .

 

Formula :-

$\sf SP = \dfrac{(100+Gain\%) \times CP}{100}$

→ Let's solve by putting the values in this formula

$\sf \leadsto \dfrac{(100+20) \times 21400}{100}$

$\sf \leadsto \dfrac{120 \times 21400}{100}$

$\sf \leadsto 120 \times 214$

$\sf \leadsto Rs. \; 25680$

∴ Selling Price of the article is Rs. 25680