A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated 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 his profit? Make it as a LPP and solve it graphically.

A factor manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to maufacture a package of screw s A, while it take 6 minutes on automatic and 3 minutes on the hand operated machines to maufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs. 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screw he manufactures, how many packages of each type should the factory owner produced day in order to maximise his profit? Determine the maximum profit.

A furniture dealer deals in only two items - tables and chairs. He has Rs. 50,000 to invest and has storage pince of at most 60 pieces. A table costs Rs. 2500 and a chair Rs. 500. He estimates thnt from the sale of one table , he can make a profit of Rs. 250 and that from the sale of one chair a profit of Rs. 75. How many tables and chairs he should buy from the available money so as to maximise his total profit assuming that he can self all the items which he buys.

What is a Manual?

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding cutting machine and a sprayer . It takes 2 h on grinding cutting machine and 3 h on the sprayer to manufacture a pedestal lamp . It takes 1 h on the grinding cutting machine and 2 h on the sprayer to manufacture a shade . On any day, the sprayer is available for at the most 20 h and the grinding cutting machine for at the most 12 h . The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3 . Assuming that the manufacture can sell all the lamps and should he schedule his daily production in order to miximize his profit ?

Juhi sells a washing machine for rs 13,500. She loses 20% in the bargain. What was the price at which she bought it?

By selling an article for Rs. 18.75, a merchant loses as much per cent as it cost him in rupees.

5 chewing gum and 6 candies cost Rs. 9 and 3 chewing gum and 2 candies cost Rs. 5. Find the cost of 1 chewing gum and 1 candy.

4 chairs and 3 tables cost Rs. 2100 and 5 chairs and 2 tables cost Rs. 1750. Find the cost of one chair and one table separately.