Correct Answer - Option 3 : 6.66%
Given:
Cost price of sugar is Rs. 2700
1/4th of the amount of sugar sold at 40% profit.
Formula:
Sp = (100 + x)% of Cp
Profit = Sp – Cp
Profit percent = Profit/Cp × 100
Where,
Sp = sell price
Cp = cost price
x = profit percent
Calculation:
Cost price of 1/4th amount = 2700/4 = Rs. 675
Cost price of 3/4th amount = 2700 × 3/4 = Rs. 2025
Sell price of 1/4th amount = 140% of 675 = Rs. 945
Overall sell price = 115% of 2700 = Rs. 3105
Sell price of 3/4th amount = Rs.(3105 – 945) = Rs. 2160
Profit = Rs. (2160 – 2025) = Rs. 135
Profit percent = 135/2025 × 100
⇒ Profit percent = 6.66
∴ Remaining part has to be sold at a profit of 6.66%.