By selling a table for sh.56, gain is as much as percent as its cost in dollars. What is the cost price? By selling a table for

Question

2 years ago

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sh.56 , gain is as much as percent as its cost in dollars . What is the cost price ?

1 answer:

sergij07 [2.7K] · Answer 1 · 2023-05-07T14:10:49+03:00

The cost price of the table is $40.

Gain is the amount gain by selling the product at a higher price than its cost.

Let the cost of the table is $ x

The percentage gain is x% (as given in the question)

Cost price = ?

It is known that

Step 1 : Gain = ( selling Price - Cost Price) * 100 / Cost Price

Selling price = 56

Cost Price = $ x

Therefore substituting the value

x = (56 - x) * 100 / x

x² = 5600 - 100x

x² +100x -5600 = 0

Step 2 : Factorizing

x² + 140x - 40 x -5600 = 0

x( x+14 ) -40( x +14) = 0

( x - 40)(x +14) = 0

x = $40

Therefore the cost price of the table is $40.

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