Question

a dealer allows adiscount of10% and still gains by 10%.what should be the marked price if the cost price 9000 rupees


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Answer 1

Case-1:

It is stated that,

Cost price(C.P.) = ₹ 9000

Gain % = 10%

∴ Gain = ₹ (9000× 10/100)

           = ₹ 900

∴ Selling price(S.P.)= (Cost price + Gain)

                               = ₹(9000+900)

                                = ₹ 9900

So, the selling price of the article is ₹ 9900.

Case-2:

Selling price(S.P.) = ₹ 9900

Let the marked price(M.P.) be, 'n'.

Rate of discount = 10%

∴ Discount = (n×10/100)

                  = n/10

Marked price(M.P.) = Selling price(S.P.) + Discount

⇒ Selling price(S.P.) = Marked price(M.P.) - Discount

So, according to the problem,

9900 = n-(n/10)

⇒ 9900 = (10n-n)/10

⇒ 9900 = 9n/10

⇒ 9n/10 = 9900

⇒ 9n = 9900×10

⇒ n = 99000/9

⇒ n = ₹ 11000

So, the marked price of the article is ₹ 11000