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A seller has 20% loss after selling an item at Rs. 1,200. At what price should it sell to get 5% profit? 
1. Rs.1500
2. Rs. 1575
3. Rs. 1800
4. Rs. 1875

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Correct Answer - Option 2 : Rs. 1575

Given:

The selling price of an item at 20% loss = Rs. 1200 

Concept used:

C.P = S.P × 100/(100 – L%)

S.P = C.P × (100 + P%)/100 

Where,

C.P → Cost price 

S.P → Selling price 

L% → Loss% 

P% → Profit% 

Calculations:

C.P = S.P × 100/(100 – L%)

⇒ C.P = 1200 × 100/(100 – 20)

⇒ C.P = 1200 × 100/80

⇒ C.P = 1500

S.P of the item for 5% profit.

S.P = 1500 × 105/100 

⇒ 1575 

∴ The required selling price is Rs. 1575

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