Directions for questions
Four young men and fast friends – Anirban, Bhaskar, Shubhayu and Sugato, who had been placed in top companies at their hometown Kolkata directly from college in 2021, decided to splurge their 2022 Durga Puja bonus payments on themselves. They went shopping together and each purchased at least one out of the three items -- an iPhone-14, a Bose Music System and an LG Microwave Oven.
The costs of these three items were Rs 78,750, Rs 33,750 and Rs 45,000, in no particular order.
It was also known that :
a) No friend purchased more than one item of any type.
b) Also, it was known that one of the friends did not purchase an iPhone-14, one of them did not purchase the Bose Music System, and two of them did not purchase the LG Microwave Oven.
c) Anirban spent the most and Shubhayu spent the least.
d) No two friends spent the same amount.
Question:-
What was the maximum possible difference (in Rs) between the amount spent by Bhaskar and Sugato ?
45000
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The two different cases that could have happened (as discussed in the previous question) were :
Case 1 |
iPhone 14 |
Bose Music System |
LG Microwave Oven |
Anirban |
Yes |
Yes |
Yes |
Bhaskar/Sugato |
Yes |
No |
Yes |
Shubhayu |
No |
Yes |
No |
Sugato/Bhaskar |
Yes |
Yes |
No |
Case 2 |
iPhone 14 |
Bose Music System |
LG Microwave Oven |
Anirban |
Yes |
Yes |
Yes |
Bhaskar/Sugato |
No |
Yes |
Yes |
Shubhayu |
Yes |
No |
No |
Sugato/Bhaskar |
Yes |
Yes |
No |
In both the cases, two different situations would arise, as given below :
a) One amongst Bhaskar or Sugato would purchase the item costing Rs 78750 and the 2nd most costly item of Rs 45000, while the other would purchase the item costing Rs 78750 and the least costly item of Rs 33750.
The difference would be {(78750+45000) – (78750+33750)} = Rs 11250
b) One amongst Bhaskar or Sugato would purchase the item costing Rs 78750 and the 2nd most costly item of Rs 45000, while the other would purchase the 2nd most costly item of Rs 45000 and the least costly item of Rs 33750.
The difference would be {(78750+45000) – (45000+33750)} = Rs 45000
Hence, the maximum possible difference between the amounts spent by Bhaskar and Sugato = Rs 45000