A fruit vendor buys some oranges at the rate of Rs 5 per orange. He also buys an equal number of bananans at the rate of Rs 2 per banana. He makes a 20% profit on orange and a 15% profit on bananas. At the end of the day, all the fruit is sold out. His total profit is Rs 390. Find the number of oranges purchased.

Meenu bought two fans for Rs 1200 each. She sold one at a loss of 5% and the other at a profit of 10%. Find the selling price of each. Also find out the total profit or loss.

Anita takes a loan of Rs.5,000 at 15% per year as rate of interest. Find the interest she has to pay at the end of one year.

A man has Rs 1500 for the manufacture of rice and wheat. A bag of rice and a bag of wheat costs Rs 180 and Rs 120 respectively. He has storage capacity of 10 bags only. He earns a profit of Rs 11 and Rs 9 per bag of rice and wheat respectively. Formulate the problem as an LPP to find the number of bags of each type he should buy to maximize the profit and solve it graphiclly.

A sum of Rs 10,000 is borrowed at a rate of interest 15% per annum for 2 years. Find the simple interest on this sum and the amount to be paid at the end of 2 years.

A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at Rs 5 profit and that of B at a profit of Rs 6. Find the production level per day for maximum profit graphically.

A furniture dealer deals in only two items tables 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. Assuming that he can sell all the items that he buys, how should he invest his money in order that he may maximize his profit?

A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs 5670 to invest and has a space for at most 20 items. An electronic sewing machine costs him Rs 360 and manually operated sewing machine Rs 240. He can sell electronic sewing machine at a profit of Rs 22 and a manually operated sewing machine at a profit of Rs 18. Assumning that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit. Make it a linear programming problem and solve it graphically. Keeping the rural background in mind justify the values to be promoted for the selection of the manually operated machine.