Question

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

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Penalty for the 1 st day=Rs.200}$

$\textsf{Penalty for the 2 nd day=Rs.250}$

$\textsf{Penalty for the 3 rd day=Rs.300 and so on}$

$\underline{\textsf{To find:}}$

$\textsf{How much money the contractor has to pay as penalty}$

$\textsf{if he has delayed the work by 30 days}$

$\underline{\textsf{Solution:}}$

$\textsf{Penalty for the successive days are}$

$\mathsf{200,250,300,.............}$

$\textsf{Clearly this is an A.P with a=200 and d=50}$

$\underline{\textsf{Penalty has to pay for 30 days}}$

$\boxed{\mathsf{S_n=\dfrac{n}{2}[2a+(n-1)d]}}$

$\mathsf{S_{30}=\dfrac{30}{2}[2(200)+(30-1)50]}$

$\mathsf{S_{30}=15[400+1450]}$

$\mathsf{S_{30}=15{\times}1850}$

$\mathsf{S_{30}=27750}$

$\underline{\textsf{Answer:}}$

$\textsf{Total penalty has to pay = Rs.27750}$

$\underline{\textsf{Find more:}}$

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Answer 2

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Asked on October 15, 2019 by

Gurvinder Naruka

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

Video Explanation

Solution To question ID 466119

ANSWER

It can be observed that these penalties are in an A.P. having first term as 200 and common difference as 50.

a=200,d=50

Sum upto n terms (S

n

)=

2

n

[2a+(n−1)d]

Penalty that has to be paid if he has delayed the work by 30 days

=S

30

= S

30

=

2

30

[2(200)+(30−1)50]

=15[400+1450]

=15(1850)

=27750

Therefore, the contractor has to pay Rs 27750 as penalty.

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