Correct Answer - Option 3 : I and III
Given:
Profit% = 26%
Discount% = 4%
Formula Used:
Profit = SP – CP
Discount = MP – SP
Profit% = (Profit /CP) × 100
Discount% = (Discount /MP) × 100
SP = {(100 + P%)/100} × CP
SP = {(100 – D%)/100} × MP
Where P is Profit, D is discount, CP is cost price, SP is selling price and MP is maximum retail price.
Calculation:
SP = {(100 + P%)/100} × CP
SP = {(100 – D%)/100} × MP
⇒ {(100 + P%)/100} × CP = {(100 – D%)/100} × MP
⇒ (100 + P%) × CP = (100 – D%) × MP
⇒ CP/MP = (100 – D%)/(100 + P%)
Putting D = 4 and P = 26
⇒ CP/MP = 96/126
⇒ 16/21
⇒ MP ∶ CP = 21 ∶ 16
SP = {(100 + 26/100} × CP
SP = (126/100) × CP
⇒ SP = (63/50) × CP
⇒ SP/CP = 63/50
⇒ SP ∶ CP = 63 ∶ 50
Only II is not correct
∴ I and III are correct.