Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A piece of cloth costs Rs 200. If the piece was $5 m$ longer and each meter of cloth cost Rs 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is the original rate per meter ?

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

20m , Rs. 10

30m , Rs. 10

20m , Rs. 20

10m , Rs. 10

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that,
A piece of cloth costs Rs 200. If the piece was

5 m

longer and each meter of cloth cost Rs 2 less, the cost of the piece would have remained unchanged.
Let the length of the piece be x times then the rate per meter will be

R s . 200 x

.
Now, according to the question,

200 x − 200 x + 5 = 2 ⇒ 200 x + 5 − 200 x x x + 5 = 2 ⇒ 1000 x x + 5 = 2 ⇒ x 2 + 5 x − 500 = 0

On simplifying,

x 2 + 5 x − 500 = 0 ⇒ x + 25 x − 20 = 0 ⇒ x = 20, x = − 25

The negative value of x is not possible because length cannot be negative.
Now, the rate will be

R s . 20020 = R s .10

.
Therefore, the length of the piece of cloth is 20m and the rate is Rs.10.
Hence, option 1 is correct.

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!