In a furniture shop, a cot and an almirah sold separately for Rs. 15000 and Rs. 25000, are sold together for Rs. 36000 . What is the discount per-cent in this deal?

A shop offers an electric iron free with a fridge. They sell the fridge for Rs. 9000 and the iron for Rs. 1000 . If 20 % profit is to be got on this deal, what should be marked as the regular price of the fridge?

A trader buys an electric fan for Rs. 2500 . He raises the price by 40 % and then offers 15 % discount. At what price does he sells it?

Sudhi and Satyan together bought a blke. Satyan gave 40 % of the price. Sudhi gave Rs. 24000 . What is the price of the bike?

A furniture dealer deals only in two items - tables and chairs. He has Rs. 5000 to invest and a space to store at most 60 pieces. A table costs him Rs. 250 and a chair Rs. 50 . He can sell a table at a profit of Rs. 50 and a chair at a profit of Rs.15 .Assume that he can sell all items that he buys. Using linear programming, formulate the problem for maximum profit.

A firm deals with two kinds of fruit juices-pineapple and the, orange juice. These are mixed and two types of mixtures are obtained which is sold as soft drinks A and B , One tin of A need 4 litres of pineapple juice and 1 litre of orange juice. One tin of B needs 2 litres of pineapple and 3 litres of oranges juice. The firm has only 46 litres of pineapple juice and 24 litres of orange jụice. Each tin of A and B is sold at a profit of Rs. 4 /- and Rs. 3 /-respectively. How many tins of A and B should the firm produce to maximise profiț? Formulate the linear programming problem and solve it graphically.

A gas stove.is bought for Rs. 3600 . What should be the price marked on it, if 20 % profit is to be got,after 10 % discount.

If a young man rides his motor cycle at 25 k . p . h , he has to spend Rs. 2 per km on petrol, if he rides it at ạ faster speed of 40k.p.h. , the petrol cost increases to Rs. 5 per k m . He has Rs. 100 to spend on petrol and wishes to find what is the maximum distance, he can travel within the hour. Express this as a linear programming problem and then solve it.

An aeroplane can carry a maximum of 200 passengers. A profit of Rs 1000 made on each executive class ticket and a profit of Rs 600 is made on economy class ticket. The airline reserves atleast 20 seats for executive class. However, at least 4 times as many passengers prefer to travel by economy class than by the executive class. Determine how many tickets of each type sold in order to maximise the profit for the airline. What is the maximum profit?

Manu has Rs.36000 for purchases of rice and wheat cost Rs.180 and Rs.120 respectively.He has storage capacity for 250 bags only.He earns a profit of Rs.11 and Rs.9 per bag of rice and wheat respectively.(i) Formulate an LPP to maximize the profit.

Manu has Rs.36000 for purchases of rice and wheat cost Rs.180 and Rs.120 respectively.He has storage capacity for 250 bags only.He earns a profit of Rs.11 and Rs.9 per bag of rice and wheat respectively.Slove the LPP.