Question

An article marked at r.s 800 is sold at a discount of 10% . Find its cost price if the dealer makes a profit of 20% , also find the profit percent 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
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Answer 2

Answer:

The profit percent when no discount allowed = 33.33%

Step-by-step explanation:

Marked price of the article is given to be Rs. 800

Discount of 10% on marked price = 10% of 800

                                                       = Rs. 80

Selling price = 800 - 80

                     = Rs. 720

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

So, 120% profit at Rs. 720

1% Profit = Rs. 6

Hence, 100% Profit = Rs. 600

Thus, the cost price of article = Rs. 600

If no discount allowed,

Selling price will become 800

Profit = S.P.- C.P.

        = 800 - 600

        = Rs. 200

Profit percent = (200/600) × 100

                       = 33.33%

Therefore, the profit percent when no discount allowed = 33.33%