Correct Answer - Option 4 : 40%
Given:
Discount % (D1) = 20%, Profit % (P1) = 60%
Discount % (D2) = 30%, Profit % (P2) = ?
Formula used:
S.P = M.P × (100 – D%)/100
C.P = S.P × 100/(100 + P%)
P = S.P – C.P
P% = (P/C.P) × 100
Where,
S.P → Selling price
C.P → Cost price
M.P → Marked price
D% → Discount%
P% → Profit%
Calculations:
Let the M.P of the product be 100x
So, S.P of the product = 100x × (100 – 20)/100 = 80x
C.P of the product = 80x × 100/(100 + 60) =50x
If the discount of the product is 30%
Now, the S.P of the product = 100x × (100 – 30)/100 = 70x
Profit = 70x – 50x = 20x
Profit% = (20x/50x) × 100 = 40%
∴ The required profit% is 40%