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.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

25 or 30

26 or 30

25 or 35

26 or 35

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given,
Total production of the toys = Rs 750
Assume that the number of toys produced be x.
Therefore, Cost of production of each toy = Rs. (55-x).
According to the question,

⇒ x (55 − x) = 750 ⇒ x 2 − 55 x + 750 = 0 ⇒ x 2 − 25 x − 30 x + 750 = 0 ⇒ x (x − 25) − 30 (x − 30) = 0

⇒ (x − 25) (x − 30) = 0 ⇒ x − 25 = 0 or x − 30 = 0

Therefore,

x = 25

x = 30

.
Hence the number of toys produced that day will be either 25 or 30.
So, the correct option is 1.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE