Question

After allowing a discount of 10 on the marked price, a trader still makes a gain of 17

Answer 1

Let the cost price be 100 Rupees.There is gain of 17% so, Selling price will be 117 Rupees.Sp=117

Let marked price be x

Then 90%of X=117

(90/100)x=117

x=117*100/90

=130

Above cost price=130-100=30

So, marked price is 30 rupees more than CP.

So, shopkeeper must mark his good's price 30% more than cost price.

Answer 2

Question

After allowing a discount of 10 % on the marked price, a trader still makes a gain of 17%. By what percent is the marked price above the cost price.

Answer

Let the MP is be Rs. 100

Discount on MP = 10% of 100

$=\frac{10}{100}\times100$

= Rs. 10

SP= 100 - 10

    = Rs. 90

Profit = 17%

∴ CP =$\frac{100}{100+17}\times90\\\\=\frac{9000}{117}\\\\=76.92$

∴ Price difference is = 100 - 76.92

                                  =23.08    

∴ Percentage of CP =$\frac{23.08}{76.92}\times100$

                            $=\boxed{30.00\%\:answer}$