A contract on the construction job specifies a penalty for delay of completion beyond a certain date as follows: ₹200 for the first day, ₹250 for the second day, ₹300 for the third day, etc, the penalty for each succeeding day being ₹50 more than for the preceding day. How much money the contractor has to pay the penalty if he has delayed the work by 30 days?

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

25,750

27,750

28,750

29,750

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

It is given that, the penalty is 200 for the first day, 250 for the second day, and 300 for the third day.
So,
200, 250, 300, ….
Above is in the form of an AP.
Here,

a = 200 d = 250 − 200 d = 50

The number of days delay for the work is 30, so, n = 30.
The total amount paid by the contractor as the penalty is,

S n = n 2 [2 a + (n − 1) d]

On putting given values in above we get,

S 30 = 302 [2 (200) + (30 − 1) 50]

= 15 [400 + 29 (50)]

= 15 (1850)

= 27, 750

So, the contractor has to pay ₹27,750 as a penalty.
Option 2) 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 Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

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 Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th