CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A cottage industry produces a certain number of articles in a day. It was observed on a particular day that the cost of production of each article (in ₹) was 7 more than twice the number of articles produced on that day. Find the number of articles produced, if the total cost of production on that day was ₹ 114.

A
6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 6

Let the number of articles produced =x

Given that the cost of production of each article (in ₹) was 7 more than twice the number of articles produced on that day.

So that the cost of production of each article =(2x+7)

Given that If the total cost of production on that day was ₹ 114.

So that production cost = ₹ 114

x(2x+7)=114

2x2+7x114=0


For a quadratic equation ax2+bx+c,
x=b±b24ac2a

Here a=2,b=7 and c=114

So, x=7±(7)24×2×1142×2

x=7±9612=7±314

x=6 or x=9.5

x cannot be a negative value. So x=6

Hence, no. of articles produced = 6


flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE using Quadratic Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon