Correct Answer - Option 3 : 50%
Given:
Discount on M.P. = 16.66%
Profit on cost price = 25%
Concept used:
S.P. = C.P. × (100 + Profit %)/100
Indirect process:-
M.P. = S.P. × 100/(100 – discount %)
Calculation:
Let the cost price of the Bluetooth speaker be 100
Selling price of the Bluetooth speaker to get 25% profit = 100 × (100 + 25)/100 = 125
Discount = 16.66% = 1/6
Marked price of the Bluetooth speaker before giving the 16.66% discount = 125 × 6/(6 – 1)
⇒ 125 × 6/5
⇒ 25 × 6
⇒ 150
Percentage of price marked above the cost price = 50%
∴ Price marked above the cost price is 50%.