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Ravi bought sugar for Rs. 2700. He sold 1/4th of the sugar at a profit of 40% profit. At what percent gain should he sell the remaining part so that the overall profit will be 15%.


1. 10%
2. 3.33%
3. 6.66%
4. 11%
5. 12.33%

1 Answer

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Best answer
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%.

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