Delhi Police Constable Exam Model Paper 5

Given:
The ratio of cost price to the marked price of a product is 3 : 8.
Formula used:
Percentage profit = (SP - CP) × 100 / CP = Profit × 100 / CP
Calculation:
∴ CP : MP = 3 : 8
Now, Discount is always given on marked price, so a discount of 25% on Marked price ⇒ Selling price = SP = 8 × (75/100) = 6
Thus, CP : SP = 3 : 6 = 1 : 2That is, Profit = SP - CP = 2 - 1 = 1
∴ Profit% = [Profit × 100]/CP = [1 × 100]/1 = 100%
Alternate Method Let CP be 300 and MP be 800.
Then SP = 75% of 800 = 600
∴ Profit percentage $=\left[\frac{\left(600-300\right)}{300}\right]\times 100=100\%$