# The loss incurred by selling the leman set for Rs.1280 is equal to the profit earned by selling same for Rs.1920. At what price should the leman set b

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The loss incurred by selling the leman set for Rs.1280 is equal to the profit earned by selling same for Rs.1920. At what price should the leman set be sold to make 25% profit?

1. Rs. 2000
2. Rs. 1900
3. Rs. 2100
4. Rs. 2150
5. None of these

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Correct Answer - Option 1 : Rs. 2000

Given:

Loss on selling the leman set for Rs. 1280 = Profit earned by selling same for Rs. 1920

Formula:

Profit % = (Profit/CP) × 100

Calculation:

Let cost price be x

⇒1920 – x = x − 1280

⇒ 2x = 3200

⇒ x = 1600

Now, for profit of 25%

⇒ 1600 × (25/100) ​= 400

⇒ Selling price = (1600 + 400)

⇒ 2000

The price at which the leman set was sold is Rs. 2000.