Answer these questions on the basis of the information given below.
A newspaper vendor picks up copies of various newspapers from a center and distributes them to his customers as per their subscription. Subscription means that the customer will receive a copy of that news paper on all days throughout the month. On the last day of each month, he prepares the bill for each customer for that month and collects the payment on the 1st day of the next month. The details of various newspapers along with their retail price per copy on weekdays (Mon-Sun) are shown below. The customers are given bills according to the retail price of the copy of the newspaper they have subscribed to.
The monthly bill of which of the following two newspapers can not be equal for any month?
Solution
We know that in a month, the number of days can be 28,29,30 or 31.
Based on this, each newspaper's bill will be prepared for a particular month.
The monthly bill of which of the following two newspapers can not be equal for any month?
Let us check each option:
A) DB and HT
Cost of DB newspaper (28 days) = ₹68 (17*4)
Cost of HT newspaper (28 days) = ₹66 (16.5*4)
So, difference = 68-66 =₹2
If we assume the number of days = 29
On the 29th day, if assumed to be Sunday, the cost of HT = ₹4.5 and cost of DB = ₹2
The monthly bill will be equal for both DB and HT.
HT = 66+4.5 = ₹70.5
DB = 68+2.5 = ₹70.5
B) PK and DJ
Cost of PK newspaper (28 days) = ₹72 (18*4)
Cost of DJ newspaper (28 days) = ₹72 (18*4)
If we assume the number of days = 28
The monthly bill will be equal for both PK and DJ.
C) NBT and DB
Cost of NBT newspaper (28 days) = ₹68 (17*4)
Cost of DB newspaper (28 days) = ₹68 (17*4)
If we assume the number of days = 28
The monthly bill will be equal for both NBT and DB.
D) DB and PK
Cost of DB newspaper (28 days) = ₹68 (17*4)
Cost of PK newspaper (28 days) = ₹72 (18*4)
So, difference = 72-68 =₹4
If we assume the number of days = 28 or 29 or 30 or 31.
For one of the following days, the difference between bill amount of DB and PK can be zero.
Hence, The monthly bill of DB and PK newspapers can not be equal for any month.
