Practicing Success
An oil merchant wants to make a minimum profit of ₹2,100 by selling 50 litres of oil he purchased at ₹236 per litre. For this, he adds a few litres of duplicate oil whose cost price is ₹180 per litre and sells at ₹250 per litre. How many litres of duplicate oil is needed for this purpose? |
22 litres 16 litres 18 litres 20 litres |
20 litres |
We have, The oil merchant wants to make a minimum profit = Rs. 2100 50 litres of oil purchased = Rs. 236 per litre Cost of duplicate oil = Rs. 180 per liter Selling price of 1 liter oil = Rs. 250 According to the question, Let quantity of duplicate oil added be x litres. According to the question 50 × 236 + x × 180 + 2100 = (50 + x) × 250 = 11800 + 180x + 2100 = 50 × 250 + 250x = 13900 - 12500 = 250x - 180x = 70x = 1400 = x = 20 |