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A shopkeeper announced a 30% discount on the marked price of an item. A person bought the item from the shop for Rs. 21,000 after getting the discount, and sold the item to a customer in such a way that he earned a profit of 32% on the marked price. What is the profit (in Rs.) the person earned by selling the item?

A shopkeeper announced a 30% discount on the marked price of an item. A person bought the item from the shop for Rs. 21,000 after getting the discount, and sold the item to a customer in such a way that he earned a profit of 32% on the marked price. What is the profit (in Rs.) the person earned by selling the item? Correct Answer 18,600

Given:

Shopkeeper offered 30% discount.

Selling price for shopkeeper is Rs. 21,000

A person sold at 32% profit on MP

Concept Used:

%Discount = (MP – SP)/MP × 100

% Profit = (SP – CP)/CP × 100

Calculation:

Shopkeeper sold for Rs. 21,000 at 30% discount

Let the Marked price of a item be x

He gave 30% on MP

⇒ Selling price = (100 – 30)% of x

⇒ 70% of x = 21,000

⇒ (70/100) × x = 21,000

⇒ x = 30,000

Marked price of an item is 30,000

Now the person sold the item at 32% profit on MP.

Selling price for the person is,

⇒ (100 + 32)% of MP

⇒ 132% × 30,000

⇒ (132/100) × 30,000

⇒ 39,600 

Selling price of an item for the person is Rs. 39,600

Now profit of the person,

⇒ Selling price  – Cost/Purchased price

⇒ 39,600  – 21,000

⇒ 18,600

∴ The profit of a person is Rs. 18,600. 

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