Question

6.
If the cost price of 10 articles is equal to the selling price of 8 articles, find the loss or gain percentage​

Answer 1

Given data :-

• The cost price of 10 articles is equal to the selling price of 8 articles.

Solution :-

Here, we know

→ Cost price = C.P

→ Selling price = S.P

→ Profit percent (gain percent) = profit %

{According to given}

→ C.P of 10 articles = S.P of 8 articles

Let, S.P of one articles be Rs 100 ....( 1 )

Hence, S.P of 8 articles = Rs 800

Now,

→ C.P of one article = 800/10

→ C.P of one article = Rs 80 .....( 2 )

{ From ( 1 ) and ( 2 ) }

Selling price is greater than cost price hence its profit.

→ Profit = S.P - C.P

→ Profit = 100 - 80

→ Profit = Rs 20

Now,

→ Profit % = {Profit/C.P} × 100

→ Profit % = {20/80} × 100

→ Profit % = {2/8} × 100

→ Profit % = 0.25 × 100

→ Profit % = 25%

Hence, profit percentage is 25%

{Note : Unit of cost price and selling price etc.. = $ , £ , ¥ , € , ¢ , ₹ }

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