Question

a shop keeper marks his goods 30% above the cost price and allow a discount 15% on them. then what percentage does he gains.

Answer 1

SP = 130% of CP

Discount for cash payment - 15%

Cash receivable = (1–15%) of 130% of CP

Or 85% x 130% of CP

Or 110.5% of CP

Gain shall be 10.5% of cost price

There's an alternate method too:

let the cost price be Rs. 100.
then the mark up price which is 30% above the cost price,
Mark price = (100 + 30% of 100) = Rs. 130
Dealer gives a discount of 15% on mark up price, then the 
Selling Price = (130 - 15% 0f 130) = Rs. 110.5.
Gain = 110.5-100 = Rs. 10.5
%gain = (10.5*100)/100 = 10.5%.

Or,

Best ides to get instant answer is put the cost of product to be Rs. 100/-

Market price = 130% of 100 = 130

Selling price = 130 -15% of 130 = 110.5

So net Profit = 110.5 - 100 = 10.5

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Hope This Helps :)

Answer 2

hye

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A shop keeper marks his goods 30% above the cost price and allow a discount 15% on them

'let costprice be 100 

he marked i=
30% of 100  +100 

=> 30 +100

=>130 rs 

after this he sold it for  discount 15%

=> selling price = $\frac{130*85 }{100}$

                         = 110.5 rs

gain  = s.p - cp

        = 110.5 -100

         = 10.5 rs

gain% = $\frac{100*10.5 }{100}$

             =  10.5 % gain 

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hope it helps ......................