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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.
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 ₹74 is never possible for which of the following newspapers?
The options are NBT, DJ, DB and PK
Let us check each option:
A) NBT
Weekly cost of NBT newspaper (7 days) = ₹17
So, for 28 days, the bill will be 17*4 = ₹68
Now, we need to find whether this newspaper's monthly bill can be ₹74 or not.
So, difference = 74-68 =₹6
Therefore, we need to check whether for any one day or two days or 3 days is equal to 6 or not for NBT and days should be consecutive.
We see that (2+3+2), (3+2+2), (2+2+3), (2+3+2), (3+2+3), (2+3+2), (3+2+3)
For none of the possible pairs of 2 or days, the sum is exactly equal to 6.
Hence, A monthly bill of ₹74 is never possible for NBT.
Let us check for other options as well.
B) DJ
Weekly cost of DJ newspaper (7 days) = ₹18
So, for 28 days, the bill will be 18*4 = ₹72
Now, we need to find out whether this newspaper's monthly bill can be ₹74.
So, difference = 74-72 =₹2
We can assume that the number of days = 29.
So, on 29th day, extra ₹2 can contribute to the monthly bill. (Either Monday, Tuesday or Thursday)
C) DB
Weekly cost of DB newspaper (7 days) = ₹17
So, for 28 days, the bill will be 17*4 = ₹68
Now, we need to find out whether this newspaper's monthly bill can be ₹74.
So, difference = 74-68 =₹6
We can assume that the number of days = 30.
So, on 29th day and 30th day, extra ₹6 can contribute to the monthly bill. (Tuesday and Wednesday)
D) PK
Weekly cost of PK newspaper (7 days) = ₹18
So, for 28 days, the bill will be 18*4 = ₹72
Now, we need to find out whether this newspaper's monthly bill can be ₹74.
So, difference = 74-72 =₹2
We can assume that the number of days = 29.
So, on the 29th day, an extra ₹2 can contribute to the monthly bill. (Either Tuesday or Wednesday or Friday)
