Question

Rohit marketed the goods 20% above the cost price. He then made some discount on it and earned a profit of 8%. The rate of discount made by Rohit is (a) 16% (6) 6% (c) 120% (d) 10%​

Answer 1

Answer:

let the costing price of the item be ₹100

rohit marked the good 20% above the cost price

now the new price of the goods=20%×100

=0.20×100

=₹120

then he made some discount on it and earned a profit of 8%

he sold goods at the price=8%×100

=0.08×100

=₹108

he gives discount of amount=120-108

=₹12.00

percentage of the discount=12/120×100

=10%

Step-by-step explanation:

so the answer is 10%

Answer 2

The correct option is (d) 10%

Given:

               Selling Price(SP) = 20% of Cost Price(CP) + CP

                     Earned Profit = 8%

To Find:

             Rate of Discount

Solution:

Let us assume that the Cost Price(CP) is Rs 500.

So, the Marketed or Selling Price is,

                                         $=\frac{20}{100} *500+500$

                                         $=100+500\\=600$

∴ SP = Rs. 600

For finding the discount allowed,

                               Profit = 8% of 500

                                        $=\frac{8}{100} *500$

                                        $=8*5$

                                        $=40$

∴ Profit = Rs. 40

Now, the actual selling price after discount is,

                                        $=CP~ + ~Profit\\= 500 +40\\=540$

Now, the discount allowed is,

          $Discount~Allowed = 600-540\\Discount~Allowed = 60$

Finally, The Rate of Discount is,

                                        $= \frac{60}{600}*100$ %

                                        $=\frac{60}{6}$ %

                                        $=10$ %

So, the Rate of Discount is 10%.