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Two shopkeeper A and B sold petrol by making a mixture of 15L petrol, 2L Diesel and 3L kerosene and 25L petrol, 6L diesel and 9L kerosene respectively. What is the difference between per liter price of mixture for both shopkeepers, if both buy petrol, diesel, and kerosene on the same price 40, 30, and 20 Rs/L. and sold the same quantity on the same price.

Two shopkeeper A and B sold petrol by making a mixture of 15L petrol, 2L Diesel and 3L kerosene and 25L petrol, 6L diesel and 9L kerosene respectively. What is the difference between per liter price of mixture for both shopkeepers, if both buy petrol, diesel, and kerosene on the same price 40, 30, and 20 Rs/L. and sold the same quantity on the same price. Correct Answer 2 Rs/L

Given:

Shopkeeper A: 15L petrol, 2L Diesel and 3L kerosene

Shopkeeper B: 25L petrol, 6L diesel and 9L kerosene

Formula used:

Cost price of mixture = (Q1C1 + Q2C2 + Q3C3) / (Q1 + Q2 + Q3)          

Where, Q = quantity and C = cost

Calculation:

For A,

Cost = 15 × 40 + 2 × 30 + 20 × 3 = Rs. 720

Price for 20L equal to Rs. 720

⇒ 1L = 720 ÷ 20 = 36 Rs/L

For B,

Cost = 25 × 40 + 6 × 30 + 9 × 20 = Rs. 1360

Price for 40L equal to Rs. 1360

⇒ 1L = 1360 ÷ 40 = 34 Rs/L

∴ Required answer = 2 Rs/L.

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