Raghu has enough money to buy 75 machines worth `Rs. 200` each. How many machines can he buy if he gets a discount of `Rs. 50` on each machine ?

A person has money to buy 25 cycles worth Rs 500 each. How many cycles he will be able to buy if each cycle is costing Rs 125 more?

Manish buys Rs 8.75 metro ticket with a Rs 20 note. How much money does he get back ?

How much money will be required to buy 250,15rs shares at a discount of 1.50rs ?

A manufacturer in Delhi manufactures a machine and marks it at Rs. 60,000. He sells the machine to a wholesaler (in patna) at a discount of 20% . The wholesaler sells the machine to a dealer (in Agra) at a discount of 10% on the marked price. If the rate of GST is 28% , find the tax paid by the wholesaler to the cenral - government.

A washing machine is available for Rs. 13,500 cash or Rs. 6,500 as cash down payment followed by three monthly instalments of Rs. 2,500 each. Find the rate of interest charged under instalment plan.

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has a space for at most 20 items. A fan costs him Rs. 360 and a sewing machine Rs. 240. His expectation is that he can sell a fan at a profit of Rs. 22 and a sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize the profit? Formulate this as a linear programming problem and solve it graphically.

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has a space for at most 20 items. A fan costs him Rs. 360 and a sewing machine Rs. 240. His expectation is that he can sell a fan at a profit of Rs. 22 and a sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize the profit? Formulate this as a linear programming problem and solve it graphically.

A furniture form manufactures chairs and tables, each requiring the use of three machines A, B and C. Production of one chair requires 2 hours on machine A, 1 hour on machine B, and 1 hour on machine C. Each table requires 1 hour each on machines A and B and 3 hours on machine C. Profit realized by selling one chair is Rs. 30 while for a table the figure is Rs. 60. The total time available per week on machine A is 70 hours, on machine B is 40 hours, and on machine C is 90 hours. How many chairs and table should be made per week so as to maximize profit? Develop a mathematical formulation.

A factory owner purchases two types of machines, A and B, for his factory. The requirements and limitations for the machines are as follows: He has an area of 7600 sq. m available and 72 skilled men who can operate the machines. To find how many machines of each type should he buy to maximize the daily output, formulate this as a L.P.P.