Question

9. A profit of 25% is made when an article is sold fo
625. Find the profit per cent if the article is sold
for 650.​

Answer 1

Answer:

30%

Step-by-step explanation:

125%=625

CP is 100%=500

if CP 100% is 500

then,Profit is 650/500*100 => 130

          100+30 profit

       

Answer 2

➤ Correct Question :-

A profit of 25% is made when an article is sold for ₹625. Find the profit percentage if the article is sold for ₹650.

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➤ Given :-

Selling price (1) :- ₹625

Profit percentage (1) :- 25%

Selling price (2) :- ₹650

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➤ To Find :-

Profit percentage if it's sold for ₹650.

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➤ Formula required :-

Cost price :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100}{(100 + profit \bf\%)} \times sp}}}}$

Profit percentage :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{profit}{cost \: price} \times 100}}}}$

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★ How to do :-

Here, we are given that an article is sold for ₹625 by gaining 25%. We should find the profit percentage if it's sold for ₹650. So, first we should find the cost price of an article for first statement by using first formula. Then, we should find the profit rupees by subtracting the selling price and the cost price. The, we can find the profit percentage using the second formula.

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➤ Solution :-

Cost price of first statement :-

${\tt \leadsto \dfrac{100}{(100 + 25)} \times 625}$

${\tt \leadsto \cancel \dfrac{100}{125} \times 625 = \dfrac{4}{5} \times 625}$

${\tt \leadsto \dfrac{4 \times 625}{5} = \dfrac{2500}{5}}$

${\tt \leadsto \cancel \dfrac{2500}{5} = \boxed{\tt rs \: \: 500}}$

Profit rupees :-

${\tt \leadsto 625 - 500}$

${\tt \leadsto rs \: \: 125}$

Now,

Profit percentage :-

${\tt \leadsto \dfrac{125}{500} \times 100}$

${\tt \leadsto \cancel \dfrac{125}{500} \times 100 = \dfrac{1}{4} \times 100}$

${\tt \leadsto \dfrac{1 \times 100}{4} = \dfrac{100}{4}}$

${\tt \leadsto \cancel \dfrac{100}{4} = \boxed{\tt 25 \bf\%}}$

$\Huge\therefore$ The profit percentage when sold for ₹650 is 25%.

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$\dashrightarrow$ Some related formulas :-

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

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

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