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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.
In the month of August, subscription of which two newspapers can lead to the same amount on the monthly bill of a customer?
I. PK and NBT
II. DJ and DB
III. TOI and DJ
IV. DJ and PK
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.
In August, a subscription to two newspapers can cost the same on a customer's monthly bill.
In August, number of days = 31
Let us check each option:
A) PK and NBT
Cost of PK newspaper (28 days) = ₹72 (87*4)
Cost of NBT newspaper (28 days) = ₹68 (17*4)
So, difference = 72-68 = ₹4
The number of days in August = 31
The monthly bill cannot be equal for both PK and NBT because for any 3 days from the weekdays, it is not possible that the difference between NBT and PK is equal to 4.
So, their bills cannot be equal.
B) DJ and DB
Cost of DJ newspaper (28 days) = ₹72 (18*4)
Cost of DB newspaper (28 days) = ₹68 (17*4)
So, difference = 72-68 = ₹4
The number of days in August = 31
The monthly bill cannot be equal for both DJ and DB because for any 3 days from the weekdays, it is not possible that the difference between DJ and DB is equal to 4. In most cases cost of DJ is more than DB.
So, their bills cannot be equal.
C) TOI and DJ
Cost of TOI newspaper (28 days) = ₹66 (16.5*4)
Cost of DJ newspaper (28 days) = ₹72 (18*4)
So, difference = 72-68 = ₹4
The number of days in August = 31
The monthly bill cannot be equal for both TOI and DJ because for any 3
days from the weekdays, it is not possible that the difference between TOI and DJ is equal to 4. In most cases cost, they are almost equal.
So, their bills cannot be equal.
D) DJ and PK
Cost of DJ newspaper (28 days) = ₹72 (18*4)
Cost of PK newspaper (28 days) = ₹72 (18*4)
So, difference = 0
The number of days in August = 31
If we assume 29th, 30th and 31st day to be Monday, Tuesday and Wednesday, then their montly bill be equal.
DJ = 72+2+2+3 = ₹79
PK = 72+3+2+2 = ₹79
Hence, the monthly bills for DJ and PK newspapers are equal for August.
