An electric cable costs Rs. 200. If the cable was 3m longer and each meter of cable cost Rs 2 less, the cost of the cable would remain unchanged. Represent the above situation in the form of quadratic equation.

A piece of cloth costs Rs 35. If the piece were 4m longer and each metre costs Rs. one less, the cost would remain unchanged. How long is the piece?

The total cost of a certain length of cloth is Rs 200 . If the piece was 5 m longer and each metre of cloth costs Rs2 less, the cost of the piece would have remained unchanged. How longer is the piece and what is its original rate per metre?

A piece of cloth costs RS.75. If the piece were 4 metre longer and each metre costs RS.5 less, the total cost would remain unchanged. How long is the piece?

The cost of a piece of cable wire is Rs.35/-. If the length of the piece of wire is 4 meters more each meter costs Rs. 1/- less, the cost would remain unchanged. What is the length of the wire ?

The cost of 4 pens and 4 pencils boxes is Rs. 100. Three times the cost of a pen is Rs. 15 more than the cost of a pencil box. Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box.

A shopkeeper purchase a certain number of books for Rs 960. If the cost per books was Rs 8 less, the number of books that could be purchased for Rs 960 would be 4 more. Write an equation, taking the ioriginal cost of each book to be Rs x, and solve it to find ther original cost of the books.

The cost of 2kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

The total cost of 3 tables and 2 chairs is Rs. 8745. If a table costs Rs. 40 more than a chair, find the price of each.

Two factories decided to award their employees for three values of (a) adaptable to new techniques, (b) careful and alert in difficult situations and (c) keeping calm in tense situations, at the rate of Rs x ,\ y\ a n d\ z per person respectively. The first factory decided to honour respectively 2, 4 and 3 employees with a total prize money of Rs 29000. The second factory decided to honour respectively 5, 2 and 3 employees with the prize money of Rs 30500. If the three prizes per person together cost Rs 9500, then represent the above situation by a matrix equation and form linear equations using matrix multiplication. Solve these equations using matrices. (iii) Which values are reflected in the questions?

Allision is planting a garden with at least 15 trees. There will be a conbination of apple trees, which cost $120 each, and pear trees, which cost $145 each. Allision's budget for purchasing the trees is on more than $2,050. She must plane at least 5 people trees and at least 3 pear trees. Which of the following systems of inequaliteies represents the situation described if x is the number of apple trees and y is the number of pear trees ?