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A trader lists a shirt for ₹2,000 and gives a 10% discount to a buyer. Despite the discount, he still gains a profit of 20%. The shirt's cost price
Question

A trader lists a shirt for ₹2,000 and gives a 10% discount to a buyer. Despite the discount, he still gains a profit of 20%. The shirt's cost price

A.

₹ 1,500

B.

₹1,600

C.

₹1,400

D.

₹1,300

Correct option is A

Given:
Marked Price (MP) = ₹2000
Discount = 10%
Profit = 20%
Formula Used:
Selling Price = MP × (1 - Discount%100\frac{Discount\%}{100}​)
Cost Price = Selling Price1+Profit%100 \frac{Selling\ Price}{1 + \frac{Profit\%}{100}}​​
Solution:
Calculate the Selling Price after the discount.
Selling Price = 2000 × (110100)(1 - \frac{10}{100})​​
 = 2000 × 0.90 = 1800
Now calculate the Cost Price based on the profit gained.
Cost Price = 18001+20100 \frac{1800}{1 + \frac{20}{100}}​​
=18001.20 = \frac{1800}{1.20}​​

=1800012=1500 = \frac{18000}{12} = 1500​​
Final Answer
So the correct answer is (a)

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