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An oil merchant wants to make a minimum profit of Rs. 2,100 by selling 50 litres of oil he purchased at Rs. 236 per litre. For this, he adds a few litres of duplicate oil whose cost price is Rs. 180 per litre and sells at Rs. 250 per litre. How many litres of duplicate oil is needed for this purpose?

An oil merchant wants to make a minimum profit of Rs. 2,100 by selling 50 litres of oil he purchased at Rs. 236 per litre. For this, he adds a few litres of duplicate oil whose cost price is Rs. 180 per litre and sells at Rs. 250 per litre. How many litres of duplicate oil is needed for this purpose? Correct Answer 20 litres

Given:

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

Calculation:

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 = 1400/70

⇒ x = 20 

20 liters of duplicated oil mixed in mixture. 

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