Question

An article marked at 800 is sold at a discount of 10%.find its cost price if the dealer makes a profit of 20%.Also ,find the profit per cent if no discount had been allowed​

Answer 1

let the cost price be ' x '

market price=Rs 800

discount=10% of 800

=Rs 80

selling price= market price - discount

=800 - 80 = Rs 720

according to question ,

x + 20% of x = Rs 720

x + 0.2 x = 720

x(1 + 0.2) = 720

1.2x = 720

x = Rs 600 = cost price

profit if no discount had allowed

=M.P - C.P = 800 - 600 = Rs 200

profit % = profit/cost price ×100

=200/600 ×100

=33.33%

therefore, profit=33.33% if no discount had allowed.

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Your Answer:C.P=Rs600,profit% =33.33

Answer 2

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Marked Price = 800

Discount = 10 %

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Cost price = ?

Profit percent if no discount ?

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Discount on marked price = 10 % of marked price

$= \frac{10 \times 800}{100}$

Discount = 80 Rs

We know that →

• Selling price = Marked price - Discount

Selling price = 800 - 80

selling price = 720

The dealer makes the profit of 20 % that means he is selling the article at 120 % .

120% = 720

1% = 6

Hence ,

100% = 600

Thus the cost price is 600 .

If no discount is allowed ,→

selling price will become 800.

Profit = SP - CP

= 800 - 600

Profit = 200

Profit percentage = (200/600)× 100

= 33.33% .

So the profit percentage is 33.33% .

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