Question
Find the average of the initial quantity of vessel A
and initial quantity of vessel B. Study the data carefully and answer the following questions: There are three types of mixtures in three different vessels A, B and C. The ratio of milk and water in vessel A is 5:2. The ratio of milk and P1 in vessel B is 2:1. The quantity of water in vessel C was equal to that of vessel A. If 28 litres of mixture from vessel A is taken out and poured in vessel B, then the quantity of milk in vessel B becomes 40 litres. If 40% of the mixture from vessel C is taken out then the quantity of P1 in vessel C becomes 15 litres. Ratio of quantities of mixture in B and C is 6:13. Note: P1 is soluble component. Vessel A, B and C do not contain P1, water and milk respectively.Solution
         Milk      Water      P1 A        5x           2x            - B        2y             -            y              C          -             2x Vessel A, => 5x + 2x = 28 => x = 4 Quantity of milk in vessel A = 5x = 20 Quantity of water in vessel A = 2x = 8 Quantity of milk in vessel B, => 2y + 20 = 40 => y = 10 litres Quantity of milk in vessel B = 20 litres Quantity of P1 in vessel C = (1500/60) = 25 litres Now, ratio of quantities of mixture in B and C is 6:13. => 30/C = 6/13 => C = 65 Quantity of mixture in C = 65 litres So, 2x + 25 = 65 => 2x = 40 litres Quantity of milk in vessel A = 40 litres Quantity of water in vessel A = 100 litres 
Required average = (20 + 10 + 100 + 40)/2 = 85
An article is sold at 15 (1/2) % profit. If its C.P. is increased by Rs. 40 and at the same time if its SP is also increased by Rs. 30, then % of profit...
A bottle of shampoo is sold at 18% profit and a bottle of conditioner at 12% profit. If profit on selling 4 bottles of shampoo and 5 of conditioner is R...
The interest earned on investing Rs. 2200 for 2 years at the rate of 20% p.a., compounded annually, is used to purchase an article. If the article is la...
The shopkeeper sold the earrings at the profit of 15% and the cost price of earrings is Rs.4200. He earns x% profit on bracelet costing Rs.3500. If the ...
A trader buys 75 shirts and recovers the cost price after selling 50 of them. He sells the remaining 25 shirts at a profit of 40% and earns Rs. 600 as p...
- A retailer sells a piece of furniture for Rs. 7,500 and gains 40% profit. If he reduces his profit to 25%, what will be the new selling price?
The selling price of a washing machine is Rs. 1680. If the washing machine was sold at 40% profit, then find the discount offered given that the washing...
The marked price of an article is Rs 900. A shopkeeper allows a discount of 15% on the marked price. Find
(i) the discount amount,
(ii) th...
A trader marked an article 16% above its cost price and sold it after allowing a discount of 10%. If the transaction resulted in a profit of Rs. 11, the...
A vendor sells two varieties of items, I and J. On item I, which costs Rs. 2200, he makes a 12% profit. If the aggregate profit from selling both items ...
