Correct Answer - Option 5 : (100/13)%
Given:
Profit% = 17%
Profit reduce percent = 8%
Formula Used:
S.P = C.P × {(100 + P%)/100}
D% = {(M.P - S.P)/M.P} × 100
Where D% = Discount Percent, S.P = Selling Price, P% =Profit Percent, M.P = Marked Price
Calculation:
Let cost price be Rs. 100
According to the question,
Initially SP = MP of the article
Then M.P = Rs. (100 + 17)
⇒ Rs. 117
Since profit percent = 17%
New S.P = C.P × {(100 + P%)/100}
⇒ 100 × {(100 + 8)/100}
⇒ Rs. 108
Now, D% = {(M.P - S.P)/M.P} × 100
⇒ {(117 - 108)/117} × 100
⇒ (9/117) × 100
⇒ 100/13
∴ The required discount percent will be (100/13)%