Question

A shopkeeper allows a discount of 12.5% on the marked price of a certain article and makes a profit of 20%. if the article cost to the shopkeeper ₹210 rupees what price must be marked on the articles?

Answer 1

Given CP of Article=₹210

Profit=20%

$SP = \frac{100 + profit\%}{100} \times CP$

Refer to Figure for SP.

Let MP=₹x

Discount Given=12.5%

Then

$SP = MP - (SP \times 12.5\%) \\ \\ SP = MP - (MP \times \frac{12.5}{100} )$

Refer to Figure for SP.

You Will get.

$SP = \frac{87.5x}{100}$

Then

MP=87.5x/100=₹252

=288

MP=Marked Price

CP=Cost Price

SP=Selling Price

$\boxed{\mathbf{\huge{MP=Rs.288}}}$

Answer 2

Answer:

300 Rs.

Step-by-step explanation:

Let the marked price of article be i.e., selling price = X

After discount of 12.5% the sp = X- 0.125X

Now if he gains 20% profit, then

Profit = 20% of sp

= 0.2(X-0.125X)

Cost price ,cp = 210 (given in que)

Cp = sp - profit

210 = x-0.125x- [0.2(x-0.125x)]

210 = x-0.125x -0.2x + 0.025x

210 = 1.025x -0.325x

210 = 0.7x

=> x = 210/0.7 = 300