Home
Class 10
MATHS
A cottage industry produces a certain n...

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 Rs 90. Find the number of articles produced and the cost of each article.

Text Solution

AI Generated Solution

To solve the problem step by step, we will define the variables and set up the equations based on the information given. ### Step 1: Define the Variables Let \( x \) be the number of articles produced in a day. ### Step 2: Express the Cost of Production According to the problem, the cost of production of each article (in rupees) is 3 more than twice the number of articles produced. Therefore, the cost per article can be expressed as: \[ ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related 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 articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation to find x .

Represent the following situations mathematically: (i) 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. (ii) 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 Rs 750. We would like to find out the number of toys produced on that day.

Represent the following situations mathematically: (i) 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. 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 particaular day, the total cost of production was RS.750. We would like to find out the number of toys produced on that day.

If 20 articles cost ₹180, the cost of 15 articles is:

If 40 articles cost Rs. 180, the cost of 18 articles is:

20 articles cost ₹ 100. What is the cost of 1 article ?

cost is directly proportional to the number of articles.

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

A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?

A person sells an article for Rs. 11 and gains as much percent as the cost price of the article in rupees. The cost price of the article is