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If an article is sold at a discount of 30% to the marked price, it makes a loss of 20%. At what per cent discount on the marked price will it break even?
1. 20%
2. 10.5%
3. 12.5%
4. 15%

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Correct Answer - Option 3 : 12.5%

Given:

30% discount to marked price

Loss percentage = 20%

Concept used:

It will reach break-even when SP = CP

SP = CP × (100 - L)%

Calculation:

Let the marked price be MP and the cost price be CP.

MP × (100 - 30)% = CP × (100 - 20)%

MP/CP = 8CP/7

Let the discount on MP to reach break even be d%

MP × (100 - d)% = SP

8CP/7 × (100 - d)% = CP

(100 - d)/100 = 7/8

d = 100/8 = 12.5%

∴ Required discount is 12.5%.

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