Rashid went to the book exhibition stall an asked the manager for a job as a salesman fot the books for the $7 d a y s$ of the
exhibition. The manager offered him a job. Rashid wanted to know how much oney he would get if he worked there. The manager said
""Rashid, you have two options. Option $1$ is that I will pay you $R s . 1000$ for seven days. Option $2$ : I will pay you Rs.\ 10 $f o r t h e f i r s t d a y,$ Rs.\ 20 $f o r t h e s e c o n d d a y,$ Rs.\ 40$ for the third day and so on doubling the wage of the
previous day for the seven days". Rashid was in a fix. He did not know which choicee was more profitable. Which choice is profitable
and by how much?

Open in App

Solution

Option 1:Money $= R s 1000$
Option 2:Sum of money= $10 + 20 + 40 + 80 + 160 + 320 + 640 = \frac{10 (2^{7} - 1)}{2 - 1}$
Sum of money $= R s 1270$
Option 2 is more profitable.

Suggest Corrections

Similar questions

Q. A man was engaged on a job for

30

days on the condition that he would get a wage of Rs.

10

for the day he works , but he have to pay a fine of Rs.

2

for each day of his absence. If he gets Rs.

216

at the end. He was absent for work for how many days ?

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.

Q. If you had the choice of a salary of Rs. 1000 a day for a month of 31 days(choice 1) or Rs.1 for the first day's work, Rs. 2 for the second, Rs. 4 for the third and each day thereafter for the rest of the month, your salary would be doubled(choice 2),

which choice would you make ?

Q. A contract on construction job specifies a penalty for delay in completion of the work beyond acertain date is 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 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?

Ajay works for 10 days and gets Rs 150 as wages. How much will he get if he works for 15 days.

Join BYJU'S Learning Program

Option 1:Money =Rs1000Option 2:Sum of money=10+20+40+80+160+320+640=10(27−1)2−1Sum of money =Rs1270Option 2 is more profitable.

Option 1:Money $= R s 1000$
Option 2:Sum of money= $10 + 20 + 40 + 80 + 160 + 320 + 640 = \frac{10 (2^{7} - 1)}{2 - 1}$
Sum of money $= R s 1270$
Option 2 is more profitable.