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​If the selling price of an article is 54\frac{5}{4}45​​ of its cost price, then the profit obtained in the transaction is: ​
Question

If the selling price of an article is 54\frac{5}{4}​ of its cost price, then the profit obtained in the transaction is:

A.

30%

B.

40%

C.

35%

D.

25%

Correct option is D

Given:

the selling price of an article is 54\tfrac{5}{4} of its cost price 

Formula Used: 

Profit % = ProfitCP×100\frac{\text{Profit}}{CP}\times 100

Solution:

If the selling price of an article is 54\tfrac{5}{4}​ of its cost price,

By ratio method,

Selling price = 54×\frac{5}{4}\times​ Cost price

Selling priceCost price\frac{\text{Selling price}}{\text{Cost price}} = 54\frac{5}{4}

Cost price : Selling price

4 : 5

Selling price is 1 more than cost price

So that profit is 1 on cost price,

Profit% = 14×100\frac{1}{4}\times100

​​Profit% = 25%

Thus, option (d) is correct.

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