Solve the problems.
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day . On a particular day, the total cost of production was 750 We would like to find out the number of toys produced on that day.

A cottage industry produces a certain number of pottery articles in a day . It was observed on a particular day that the cost of production of each article (in rupees ) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was 90 , find the number of articles profit and the cost of each article.

A factory requires 42 machines to produce a given number of articles in 63 days.How many machines would be required to produce the same number of articles in 54 days?

Mohan had brought certain number of books for rupes 48, If he had bought 4 more for the same amount , then the cost of each book would have been reduced by 1 rupee . Find the number of books bought by him.

On the occasion of New year's day a sweet stall prepared sweet packets. Number of sweet packets and cost of each packet are given as follows. Find the mean, median and mode of the data.

Solve the problems. John and Jivanti together have 45 marbles .Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

150 workers were engaged to finish a job in a certain number of days. 4 workers dropped out on second day, 4 more workers dropped out on third day and so on. It took 8 more days to finish the work. Find the number of days in which the work was completed.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method : A part of monthly hostel charges is fixed and the remaining depends on the number of days on has taken food in the mess. When a student A takes food for 20 days she has to par Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, Rs. 1180 as hostel charges. find the fixed charges and the cost of food per day.

Form the pair of linear equations in the following problems and their solutions (if they exist) by any algebraic method. A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she pays Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

A manufacturer of TV sets produced 600 sets in the third year and 700 sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year, find: (i) the production in the 1st yea (ii) the production in the 10th year (iii) the total production in first 7 years Solution :