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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 ?

Option: 1

45000


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

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

 

Posted by

Ritika Jonwal

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