A trader generally sells goods at 20 discount on marked price If he wants to make a profit of 25 aft...........

Quant (SSC) Profit and loss

A trader generally sells goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%, by what percent should increased price be greater than the original marked price?

15%

65%

25%

20%

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Explanation:

Let original MP = 100
Therefore, Selling price at 20% discount will be = 80
By the short trick approach, we get
New MP = 100 + Profit % /100 – Discount % × Old SP
= 100 + 25 /100 - 20 x 80
= 125 /80 x 80 = 125
Increased percentage = New MP – Old MP = 125 – 100 = 25%.