Question

A shopkeeper marks his goods at such a price that after giving a discount of 10% he still makes a profit of 8% . Find the marked price of an article costs him rs 250
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Answer 1

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■ Given :-

• Cost Price of an Article = ₹ 250
• Profit % = 8 %
• Discount % = 10%

■ To find :-

• Marked Price

■ Solution:-

Cost Price of an Article = ₹ 250

Profit % = 8 %

♡ Profit = 8/100 × 250 = ₹ 20

◇ Selling Price of an Article

= Cost Price + Profit

= 250 + 20

= ₹ 270.

Now, Discount % = 10 %

Let Marked Price = ₹ x.

◇ Discount = 10% of x = 10/100 × x = x/10

Selling Price = Marked Price - Discount

270 = x - x/10

270 = 9x/10

=> x = 300

◇ So, Marked Price of an Article is ₹ 300.

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Answer 2

The answer to your question could be:-

Given,

Percentage of the marked price which is discounted = 10% of marked price

Percentage of the profit gained by the shopkeeper after the discount

= 8% of marked price

Cost price of the article = 250 Rupees

Marked price of the article = ?

The marked price of the article can easily be firstly calculating the discount laid by the shopkeeper and the profit he/she gains. Then, we need add the two amounts with the cost price, so the answer could be this:

Cost price = 250 Rupees

Marked price = {(10% of the cost price) + (8% of the cost price)} + Cost price

= {(10/100 * 250) + (8/100 * 250)} + 250

= {(250/10) + (2 * 10)} + 250

= {25 + 20} + 250

= 45 + 250

= 295

Therefore the marked price of the article was 295 Rupees which is the number at which even if the shopkeeper gives a discount to a customer of 10% of the marked price, the shopkeeper still makes a profit of 8% of the marked price.