Question

A shopkeeper gets a mixer for 3000 rupees. What is its marked price if the shopkeeper gains 20% after allowing a discount of 10%?

Answer 1

Answer:

CP of the shopkeeper= 3000

SP= 3000*(120)/100=Rs.3600

Discount=10%of x= where x is MP

ATQ

x-(x/10)=3600

10x-x=36000

9x=36000

x=4000

So, MP of the mixer= Rs. 4000

Step-by-step explanation:

Answer 2

Given: Cost price of mixer = Rs. 3,000

           Gain % = 20% Discount % = 10%

To find: Marked price

Let: Marked price = Rs. X

Solution:

Using the formula to calculate S.P. when C.P. and gain % is given

.: Selling Price = $\frac{100 + Gain Percentage}{100}$ × C.P.

                         = $\frac{100 + 20}{100}$ × 3,000

                         = 120/100 x 3,000

                         = Rs. 3,600

Marked price = Rs. X

Then, the discount = 10% of X (Discount is given on marked price)

                               = X × 10/100

                               = Rs. 10X/100

.: Selling Price = Marked Price - Discount

                        = X - 10X/100

                        = $\frac{100X - 10X}{100}$

                        = 90X/100

But, the Selling price is Rs. 3,600

.:  90X/100 = 3,600

⇒ 90X = 3,600 x 100 = 3,60,000

⇒ X = 3,60,000/90 = 4,000

Hence, the marked price of the mixer is Rs. 4,000.