The marked price of a sofa is ₹578, which is 34% above the cost price. If the profit percentage is 10%, find the discount percentage (rounded off to two decimal places).​

Correct option is B

Given:

Marked Price (MP) = ₹578

MP is 34% above Cost Price (CP)

Profit Percentage = 10%;

Required: Discount Percentage (rounded to two decimal places)

Formula Used:

Discount = MP - SP

Discount % = $$\frac{MP - SP}{MP} \times 100$$​​

Solution:

CP = $$\frac{578}{1.34}$$​ = 431.34

SP = $$1.10 \times 431.34$$​ = 474.47

Discount = 578 - 474.47 = 103.53

Discount % = $$\frac{103.53}{578} \times 100$$​ = 17.91%