Rohit purchased 120 kg of rice at the rate of Rs. 20/kg. He sold 40 kg

1.	Rohit purchased 120 kg of rice at the rate of Rs. 20/kg. He sold 40 kg at a profit of 10%. At what rate per kg should he sell the remaining to get a profit of 20% on the total deal?1. 20/kg2. 22/kg3. 25/kg4. 24/kg5. None of these
Answer» Correct Answer - Option 3 : 25/kg Given: Cost price of rice = 20/kg Percent profit at which 40 kg rice was sold = 10% Percent profit on the total deal = 20% Concept used: Per kg selling price of remaining rice = (Total selling price of remaining rice)/(Quantity of remaining rice) Calculation: Total cost price of 120 kg rice = 120 × 20 ⇒ 2400 Selling price of 120 kg rice = 2400 × {(100 + 20)/100} ⇒ 2400 × {120/100} ⇒ 24 × 120 ⇒ 2880 Selling price of 40 kg rice at 10% profit = (40 × 20) × {(100 + 10)/100} ⇒ 800 × {110/100} ⇒ 8 × 110 ⇒ 880 Then, Selling price of remaining 80 kg rice = 2880 – 880 ⇒ 2000 Selling price of per kg of 80 kg rice = 2000/80 ⇒ 25 ∴ The selling price of remaining rice is Rs. 25/kg.

Rohit purchased 120 kg of rice at the rate of Rs. 20/kg. He sold 40 kg at a profit of 10%. At what rate per kg should he sell the remaining to get a profit of 20% on the total deal?1. 20/kg2. 22/kg3. 25/kg4. 24/kg5. None of these

Answer» Correct Answer - Option 3 : 25/kg

Given:

Cost price of rice = 20/kg

Percent profit at which 40 kg rice was sold = 10%

Percent profit on the total deal = 20%

Concept used:

Per kg selling price of remaining rice = (Total selling price of remaining rice)/(Quantity of remaining rice)

Calculation:

Total cost price of 120 kg rice = 120 × 20

⇒ 2400

Selling price of 120 kg rice = 2400 × {(100 + 20)/100}

⇒ 2400 × {120/100}

⇒ 24 × 120

⇒ 2880

Selling price of 40 kg rice at 10% profit = (40 × 20) × {(100 + 10)/100}

⇒ 800 × {110/100}

⇒ 8 × 110

⇒ 880

Then, Selling price of remaining 80 kg rice = 2880 – 880

⇒ 2000

Selling price of per kg of 80 kg rice = 2000/80

⇒ 25

∴ The selling price of remaining rice is Rs. 25/kg.