Question

a shopkeeper allows 20% discount to the customers and still makes a profit of 20% what is the cost price of a shirt marked at ₹1500
Please answer with proper steps

Answer 1

$mp = rupees1500 \\ discount = 20\% \\ sp = \frac{100 - d}{100} \times mp \\ \: \: \: \: = \frac{100 - 20}{100 } \times 1500 \\ = \frac{80}{100} \times 1500 \\ = rupees1200 \\ profit = 20\% \\ cp = \frac{100 \times sp}{100 + p} \\ = \frac{100 \times 1200}{120} \\ = rupees1000 \\ so \: cp \: is \: rupees \: 1000$

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Answer 2

Answer:

1000

Step-by-step explanation:

Method - 1:

Given: Marked price = 1500, Discount = 20%, Profit = 20%.

∴ CP = [(100 - Discount%)/(100 + Profit%)] * MP

        = [(100 - 20)/(100 + 20)] * 1500

        = (80/120) * 1500

        = 1000.

Therefore, Cost price of the shirt = 1000.

Method - 2:

Given, marked price = 1500.

(i)

Discount = 20% of 1500

               = (20/100) * 1500

               = 300.

(ii)

Selling price = marked price - discount

                     = 1500 - 300

                     = 1200

Let the cost price of a shirt be 'x'.

⇒ Selling price = cost price + profit

⇒ 1200 = x + x * (20/100)

⇒ 1200 = 120x/100

⇒ 120000 = 120x

⇒ x = 1000.

Therefore,Cost price of the shirt = 1000.

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