Math, asked by rameshshivam638, 11 months ago

A shopkeeper allows a discount of 25% on the marked price of a VCR. How much above cost price must
he mark his goods to make a profit of 20%?

Answers

Answered by venupillai
3

Answer:

Marked Price should be 60% more than Cost Price

Step-by-step explanation:

CP = Cost Price

SP = Selling Price

MP = Marked Price

Discount = 25%

=> SP = MP - 25% of MP

=> SP = MP - 0.25*MP

=> SP = 0.75*MP ..........(i)

Profit% = 20%

=> SP = CP + 20% of CP

=> SP = CP + 0.2*CP

=> SP = 1.2*CP .........(ii)

From (i) and (ii)

0.75*MP = 1.2*CP

=> MP = (1.2/0.75)*CP

=> MP = 1.6*CP

=> MP = CP + 0.6*CP

=> MP = CP + 60% of CP

=> Marked Price should be 60% more than Cost Price

Verification:

Let CP = 100

MP = 160

Discount = 25% => SP = 0.75*160 = 120

120 = 20% more than 100

=> SP is 20% more than CP

=> Profit is 20% (Thus, verified)

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