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  • 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 dir

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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:- If the cost of the LG Microwave Oven was not Rs 78,750, then what was the amount definitely spent (in Rs) by one friend out of the options given ?

Option: 1

Correct Answer : 112500


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

As per condition (d), all the friends spent a different amount.

From condition (b), it can be understood that out of the two friends who did not purchase an LG Microwave Oven, one had not purchased an iPhone 14 or a Bose Music System as well. That had to be Shubhayu, as he spent the least.

That meant one friend had purchased all the three items. That had to be Anirban, as he spent the most.

Hence, the two different cases that could have happened 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

Deductions from Case 1 : 

The price of the Bose Music System cannot be Rs 78750. 

If it were so, the expense of Bhaskar/Sugato and Shubhayu would become the same, which is not possible.

But the cost of the LG Microwave Oven was also not Rs 78750

Hence the cost of the iPhone 14 must be Rs 78750

Deductions from Case 2 :

The price of the iPhone 14 cannot be Rs 78750. 

If it were so, the expense of Bhaskar/Sugato and Shubhayu would become the same, which is not possible.

But the cost of the LG Microwave Oven was also not Rs 78750

Hence the cost of the Bose Music System must be Rs 78750

In Case 1 the cost of the iPhone 14 must be Rs 78750

A) If the LG Microwave Oven costs Rs 33750 and the Bose Music System costs Rs 45000, then the expenses were :

Case 1A

iPhone 14

Bose Music System

LG Microwave Oven

Total Expense

Anirban

Yes

Yes

Yes

(78750+45000+33750) = Rs 157500

Bhaskar/Sugato

Yes

No

Yes

(78750+33750) = Rs 112500

Shubhayu

No

Yes

No

Rs 45000

Sugato/Bhaskar

Yes

Yes

No

(78750+45000) = Rs 123750

 B) If the LG Microwave Oven costs Rs 45000 and the Bose Music System costs Rs 33750, then the expenses were :

Case 1B

iPhone 14

Bose Music System

LG Microwave Oven

Total Expense

Anirban

Yes

Yes

Yes

(78750+33750+45000) = Rs 157500

Bhaskar/Sugato

Yes

No

Yes

(78750+45000) = Rs 123750

Shubhayu

No

Yes

No

Rs 33750

Sugato/Bhaskar

Yes

Yes

No

(78750+33750)  = Rs 112500

In Case 2 the cost of the Bose Music System must be Rs 78750

A) If the LG Microwave Television costs Rs 33750 and the iPhone 14 costs Rs 45000, then the expenses were :

Case 2A

iPhone 14

Bose Music System

LG Microwave Oven

Total Expense

Anirban

Yes

Yes

Yes

(45000+78750+33750)= Rs 157500

Bhaskar/Sugato

No

Yes

Yes

(78750+33750) = Rs 112500

Shubhayu

Yes

No

No

Rs 45000

Sugato/Bhaskar

Yes

Yes

No

(45000+78750)   = Rs 123750

 B) If the LG Microwave Television costs Rs 45000 and the iPhone 14 costs Rs 33750, then the expenses were :

Case 2B

iPhone 14

Bose Music System

LG Microwave Oven

Total Expense

Anirban

Yes

Yes

Yes

(33750+78750+45000) = Rs 157500

Bhaskar/Sugato

No

Yes

Yes

(78750+45000)  = Rs 123750

Shubhayu

Yes

No

No

Rs 33750

Sugato/Bhaskar

Yes

Yes

No

(33750+78750)  = Rs 112500

From all the four cases we can observe that Rs 1,57,500, Rs 1,23,750 and Rs 1,12,250 was always spent by one friend or the other in every case.

However only Rs 1,12,500 is present in the options.

Hence, If the cost of the LG Microwave Oven was not Rs 78,750, then the amount definitely spent by one friend out of the options given is Rs 1,12,500.

 

Posted by

jitender.kumar

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