Question

A shopkeeper allows a discount of 10 percent to his customers and still gain 20 percent. Find the marked price of the article which costs ₹450 to the customer​

Answer 1

SP=450

MP=SP+DISCOUNT

450+50=500

Answer 2

Given:

• Discount = 10%
• Gain = 20%
• C.P.= 450 rupees

To Find:

• Marked Price = ?

Solution:

Let the Marked Price be 100.

Discount = 10% of MP

$\sf \implies \: \frac{10}{100} \times 100 = 10$

SP = MP - Discount

$\sf \implies \: 100 - 10 = 90$

Gain = 20% of CP

$\sf \implies \: \frac{20}{100} \times 450 = 90$

SP = CP + Gain

$\sf \implies \: 450 + 90 = 540$

If SP is 90,then MP is 100.

When SP is 540,

$\sf \: mp = \frac{540 \times 100}{90} = 600$

$\sf \therefore \: the \: mp \: of \: an \: article = 600$

Hence,MP of an article =600