Bissoy.com
Doctors Medicines MCQs Q&A

A shopkeeper has three types of oil A, B and C. The average quantity of three types of oil is 36 litres. Type A oil is 10 litres more than type C oil, which is 7 litres more than type B oil. If the costs of type A, B and C oil are Rs.6 per litre, Rs.15 per litre and Rs.12 per litre, then find the average cost of the three types of oil?

A shopkeeper has three types of oil A, B and C. The average quantity of three types of oil is 36 litres. Type A oil is 10 litres more than type C oil, which is 7 litres more than type B oil. If the costs of type A, B and C oil are Rs.6 per litre, Rs.15 per litre and Rs.12 per litre, then find the average cost of the three types of oil? Correct Answer Rs. 10.28 per litre

Given that,

(A + B + C)/3 = 36

A + B + C = 108      ---- (1)

A – C = 10

C = A – 10      ---- (2)

And, C – B = 7

B = C – 7 = A – 10 – 7

B = A – 17      ---- (3)

From equations (1), (2) and (3):

A + A – 17 + A – 10 = 108

3A = 135

A = 45 litres, B = 45 – 17 = 28 litres and C = 45 – 10 = 35 litres

Now, the average cost of the mixture:

/(45 + 28 + 35)

⇒ /108 = Rs.10.28 per litre (approx)

Related Questions

Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. A milkman has 132 litres mixture of milk and water in a container which contains milk and water in the ratio 7 : 5. The milk man sold 48 litres of the mixture and added 6 litres of pure milk and 20 litres of water to the remaining mixture. The milkman again sold 42 litres of the mixture. Quantity A: Find the quantity of milk left in the container. Quantity B: Find the quantity of water left in the container. Quantity C: 35 litres.
Seven chocolates A, B, C, D, E, F and G are bought at different costs between Rs. 40 and Rs. 50 (excluding 40 and 50) but not necessarily in the same order. The cost of chocolate C is five less than that of chocolate E. The cost of the chocolate A is a prime number. The cost of chocolate F is two more than that of chocolate A. The cost of chocolate F is more than that of chocolate E. The cost of chocolate D is an odd number. The cost of chocolate G is three more than the cost of chocolate D. None of the chocolates costs Rs. 44. The cost of chocolate B is an even number. Which is the following chocolates is costlier than E?
A milk seller bought certain quantity of pure milk. He first sold 20 litres of pure milk. He added 20 litres of water to the remaining quantity of milk. He then sold 20 litres of the milk water mixture and added 20 litres of water to the mixture. He again sold 20 litres of this milk water mixture and added 20 litres of water to the mixture. Now, the ratio of milk to water is 8 : 19. How much quantity of pure milk in litres did he buy in the first place?
Seven chocolates, A, B, C, D, E, F and G, are bought at different costs between Rs. 40 and Rs. 50 (excluding both Rs. 40 and Rs. 50) but not necessarily in the same order. The cost of chocolate C is Rs. 5 less than that of chocolate E. The cost of chocolate A is a prime number. The cost of chocolate F is Rs. 2 more than that of chocolate A. The cost of chocolate F is more than that of chocolate E. The cost of chocolate D is an odd number. The cost of chocolate G is Rs. 3 more than the cost of chocolate D. None of the chocolates cost Rs. 44. The cost of chocolate B is an even number. What is the cost of chocolate E?
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?
Questions below followed by three quantities. Find the relationship between them. Quantity I: In a class with a certain number of students if a teacher weighing 78 kg is added, then average weight of class is increased by 2 kg. If one more teacher weighing 66 kg is added, then the average weight of the class increases by 3.5 kg over the original average. What is the original average weight (in kg) of the class? Quantity II: The average age of 16 students and their teacher's age is 16 years. If the teacher's age is excluded, the average reduces by 2. What is the teacher's age? Quantity III: Average weight of three friends A, B and C is 46 kg. Another person D joins the group and now the average is 45 kg. If another person E whose weight is 6 kg more than D, joins the group replacing A, then average weight of B, C, D and E becomes 47 kg. What is the weight of A (in kg)?
The following question contains a statement followed by Quantity 1, 2 and 3. You should use the given data and your knowledge of Mathematics to choose among the possible answer.  The options represent the relations between these three quantities  A) >  B) <  C) = D) ≤  E) ≥  1) A, B  2) B, C  3) B, A  4) E, B  5) B, D  Quantity 1: Find the profit percentage on selling a Ray ban sunglass after offering a discount of 20%, if it costs Rs. 1250 and marked up by Rs. 400. Quantity 2: The profit earned by selling an article for Rs. 210 is 20% while the discount percentage allowed on the article is at the rate of 30% then find the percentage by which marked price of the article is raised above cost price?  Quantity 3: What is the profit percentage earned by selling an article which costs Rs. 180 and the shopkeeper sold the article for Rs. 320?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.
When 12 litres of water were added with some quantity of pure watermelon juice then the ratio of juice to water become 5 : 4 Quantity I: In the mixture, when 2 litres of pure watermelon juice are added then what will be the concentration of juice in the new mixture?  Quantity II: Instead of 12 litres of water, if 5 litres of water were added and the quantity of pure watermelon juice remained the same then what would be the concentration of pure watermelon juice  in the mixture?
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: A shopkeeper earns 20% profit by selling an item at Rs. P. If he increases the selling price by Rs. 90, he can make a profit of 35%. Find the value of P. Quantity 2: A shopkeeper earns x% profit even after allowing a discount of Rs. 126. Find the cost price of the article if the (x + 15)% profit is earned if no discount is offered. Quantity 3: When an article is sold for Rs. 984, the profit percentage is 4 times as much as when it is sold for Rs. 861. Find the cost price of the article.